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12013122112 = 263723321773
BaseRepresentation
bin10110011000000100…
…11011001001000000
31011000012210211111121
423030002123021000
5144100324401422
65304014522024
7603460565425
oct131402331100
934005724447
1012013122112
1151051044a2
1223b3206314
131195aaa4a4
1481d675d4c
154a49b38c7
hex2cc09b240

12013122112 has 56 divisors (see below), whose sum is σ = 24589029816. Its totient is φ = 5818871808.

The previous prime is 12013122109. The next prime is 12013122127. The reversal of 12013122112 is 21122131021.

It can be written as a sum of positive squares in 4 ways, for example, as 773729856 + 11239392256 = 27816^2 + 106016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540858 + ... + 562630.

Almost surely, 212013122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294514908).

12013122112 is an abundant number, since it is smaller than the sum of its proper divisors (12575907704).

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

12013122112 is a wasteful number, since it uses less digits than its factorization.

12013122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22055 (or 22045 counting only the distinct ones).

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

Adding to 12013122112 its reverse (21122131021), we get a palindrome (33135253133).

The spelling of 12013122112 in words is "twelve billion, thirteen million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 148 233 296 466 592 932 1184 1864 2368 3728 7456 8621 14912 17242 21773 34484 43546 68968 87092 137936 174184 275872 348368 551744 696736 805601 1393472 1611202 3222404 5073109 6444808 10146218 12889616 20292436 25779232 40584872 51558464 81169744 162339488 187705033 324678976 375410066 750820132 1501640264 3003280528 6006561056 12013122112