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111221211122120 = 235111012753909091
BaseRepresentation
bin11001010010011110110100…
…110001111100100111001000
3112120210122101102201112120002
4121102132310301330213020
5104034222020021401440
61032314152524222132
732266316203010021
oct3122366461744710
9476718342645502
10111221211122120
1132490718169280
12105834ba69a948
134a0a1661507a8
141d671c7537c48
15ccd1bb650115
hex6527b4c7c9c8

111221211122120 has 128 divisors (see below), whose sum is σ = 275800912778880. Its totient is φ = 40029050880000.

The previous prime is 111221211122107. The next prime is 111221211122123. The reversal of 111221211122120 is 21221112122111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111221211122092 and 111221211122101.

It is not an unprimeable number, because it can be changed into a prime (111221211122123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121888775 + ... + 122797865.

It is an arithmetic number, because the mean of its divisors is an integer number (2154694631085).

Almost surely, 2111221211122120 is an apocalyptic number.

111221211122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111221211122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137900456389440).

111221211122120 is an abundant number, since it is smaller than the sum of its proper divisors (164579701656760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111221211122120 is a wasteful number, since it uses less digits than its factorization.

111221211122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911967 (or 911963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 111221211122120 its reverse (21221112122111), we get a palindrome (132442323244231).

Subtracting from 111221211122120 its reverse (21221112122111), we obtain a palindrome (90000099000009).

The spelling of 111221211122120 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 2753 4040 4444 5506 5555 8888 11012 11110 13765 22024 22220 27530 30283 44440 55060 60566 110120 121132 151415 242264 278053 302830 556106 605660 909091 1112212 1211320 1390265 1818182 2224424 2780530 3058583 3636364 4545455 5561060 6117166 7272728 9090910 10000001 11122120 12234332 15292915 18181820 20000002 24468664 30585830 36363640 40000004 50000005 61171660 80000008 91818191 100000010 122343320 183636382 200000020 367272764 400000040 459090955 734545528 918181910 1010000101 1836363820 2020000202 2502727523 3672727640 4040000404 5005455046 5050000505 8080000808 10010910092 10100001010 12513637615 20021820184 20200002020 25027275230 27530002753 40400004040 50054550460 55060005506 100109100920 110120011012 137650013765 220240022024 252775479823 275300027530 505550959646 550600055060 1011101919292 1101200110120 1263877399115 2022203838584 2527754798230 2780530278053 5055509596460 5561060556106 10111019192920 11122121112212 13902651390265 22244242224424 27805302780530 55610605561060 111221211122120