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122110020131120 = 2457572693807533
BaseRepresentation
bin11011110000111011110100…
…010111111001100100110000
3121000100121022020220121222122
4123300323310113321210300
5112001122310123143440
61111412322511053412
734502105063316050
oct3360736427714460
9530317266817878
10122110020131120
11359a9628a6499a
12118418a6811268
135319c053b8c38
142222229663560
15e1b5663a57b5
hex6f0ef45f9930

122110020131120 has 80 divisors (see below), whose sum is σ = 324469518603840. Its totient is φ = 41865550574592.

The previous prime is 122110020131117. The next prime is 122110020131129. The reversal of 122110020131120 is 21131020011221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (122110020131129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30166874 + ... + 33974406.

It is an arithmetic number, because the mean of its divisors is an integer number (4055868982548).

Almost surely, 2122110020131120 is an apocalyptic number.

122110020131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110020131120 is an abundant number, since it is smaller than the sum of its proper divisors (202359498472720).

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

122110020131120 is a wasteful number, since it uses less digits than its factorization.

122110020131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864822 (or 3864816 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122110020131120 its reverse (21131020011221), we get a palindrome (143241040142341).

The spelling of 122110020131120 in words is "one hundred twenty-two trillion, one hundred ten billion, twenty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 57269 114538 229076 286345 400883 458152 572690 801766 916304 1145380 1603532 2004415 2290760 3207064 3807533 4008830 4581520 6414128 7615066 8017660 15230132 16035320 19037665 26652731 30460264 32070640 38075330 53305462 60920528 76150660 106610924 133263655 152301320 213221848 266527310 304602640 426443696 533054620 1066109240 2132218480 218053607377 436107214754 872214429508 1090268036885 1526375251639 1744428859016 2180536073770 3052750503278 3488857718032 4361072147540 6105501006556 7631876258195 8722144295080 12211002013112 15263752516390 17444288590160 24422004026224 30527505032780 61055010065560 122110020131120