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12210110112 = 253377734447
BaseRepresentation
bin10110101111100011…
…10111111010100000
31011111221110212020110
423113301313322200
5200001242010422
65335333011320
7611402136444
oct132761677240
934457425213
1012210110112
1151a631a4a2
122449183b40
1311c784b835
1483b8b2824
154b6e2560c
hex2d7c77ea0

12210110112 has 96 divisors (see below), whose sum is σ = 32967793152. Its totient is φ = 3954023424.

The previous prime is 12210110093. The next prime is 12210110137. The reversal of 12210110112 is 21101101221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2743473 + ... + 2747919.

It is an arithmetic number, because the mean of its divisors is an integer number (343414512).

Almost surely, 212210110112 is an apocalyptic number.

12210110112 is a gapful number since it is divisible by the number (12) 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 12210110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483896576).

12210110112 is an abundant number, since it is smaller than the sum of its proper divisors (20757683040).

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

12210110112 is a wasteful number, since it uses less digits than its factorization.

12210110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12210110112 its reverse (21101101221), we get a palindrome (33311211333).

The spelling of 12210110112 in words is "twelve billion, two hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 773 888 1184 1546 1776 2319 3092 3552 4447 4638 6184 8894 9276 12368 13341 17788 18552 24736 26682 28601 35576 37104 53364 57202 71152 74208 85803 106728 114404 142304 164539 171606 213456 228808 329078 343212 426912 457616 493617 658156 686424 915232 987234 1316312 1372848 1974468 2632624 2745696 3437531 3948936 5265248 6875062 7897872 10312593 13750124 15795744 20625186 27500248 41250372 55000496 82500744 110000992 127188647 165001488 254377294 330002976 381565941 508754588 763131882 1017509176 1526263764 2035018352 3052527528 4070036704 6105055056 12210110112