Search a number
-
+
1211123120020 = 2251110199155001
BaseRepresentation
bin10001100111111100100…
…100000011011110010100
311021210010020211011010121
4101213330210003132110
5124320340004320040
62324214323401324
7153333521443252
oct21477444033624
94253106734117
101211123120020
114276a8477870
12176882823244
138a292b8c428
14428938c75d2
1521786499c4a
hex119fc903794

1211123120020 has 96 divisors (see below), whose sum is σ = 2804922473472. Its totient is φ = 435600000000.

The previous prime is 1211123119993. The next prime is 1211123120029. The reversal of 1211123120020 is 200213211121.

It is a junction number, because it is equal to n+sod(n) for n = 1211123119976 and 1211123120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211123120029) 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, 21992520 + ... + 22047520.

It is an arithmetic number, because the mean of its divisors is an integer number (29217942432).

Almost surely, 21211123120020 is an apocalyptic number.

1211123120020 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 1211123120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402461236736).

1211123120020 is an abundant number, since it is smaller than the sum of its proper divisors (1593799353452).

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

1211123120020 is a wasteful number, since it uses less digits than its factorization.

1211123120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56113 (or 56111 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1211123120020 its reverse (200213211121), we get a palindrome (1411336331141).

The spelling of 1211123120020 in words is "one trillion, two hundred eleven billion, one hundred twenty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 991 1010 1111 1982 2020 2222 3964 4444 4955 5555 9910 10901 11110 19820 21802 22220 43604 54505 55001 100091 109010 110002 200182 218020 220004 275005 400364 500455 550010 605011 1000910 1100020 1101001 1210022 2001820 2202002 2420044 3025055 4404004 5505005 5555101 6050110 11010010 11110202 12100220 22020020 22220404 27775505 54505991 55551010 61106111 109011982 111102020 122212222 218023964 244424444 272529955 305530555 545059910 599565901 611061110 1090119820 1199131802 1222122220 2398263604 2997829505 5505105091 5995659010 11010210182 11991318020 22020420364 27525525455 55051050910 60556156001 110102101820 121112312002 242224624004 302780780005 605561560010 1211123120020