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12012122112 = 21233492801
BaseRepresentation
bin10110010111111101…
…00111000000000000
31011000010221000202120
423023332213000000
5144100100401422
65303541244240
7603446232114
oct131376470000
934003830676
1012012122112
115104591151
1223b2a03680
13119581a283
1481d495744
154a486745c
hex2cbfa7000

12012122112 has 104 divisors (see below), whose sum is σ = 32131654800. Its totient is φ = 3991142400.

The previous prime is 12012122099. The next prime is 12012122147. The reversal of 12012122112 is 21122121021.

It is a junction number, because it is equal to n+sod(n) for n = 12012122091 and 12012122100.

It is a congruent number.

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, 4287112 + ... + 4289912.

Almost surely, 212012122112 is an apocalyptic number.

12012122112 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 12012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065827400).

12012122112 is an abundant number, since it is smaller than the sum of its proper divisors (20119532688).

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

12012122112 is an equidigital number, since it uses as much as digits as its factorization.

12012122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12012122112 its reverse (21122121021), we get a palindrome (33134243133).

The spelling of 12012122112 in words is "twelve billion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 349 384 512 698 768 1024 1047 1396 1536 2048 2094 2792 2801 3072 4096 4188 5584 5602 6144 8376 8403 11168 11204 12288 16752 16806 22336 22408 33504 33612 44672 44816 67008 67224 89344 89632 134016 134448 178688 179264 268032 268896 357376 358528 536064 537792 714752 717056 977549 1072128 1075584 1429504 1434112 1955098 2144256 2151168 2868224 2932647 3910196 4288512 4302336 5736448 5865294 7820392 8604672 11472896 11730588 15640784 17209344 23461176 31281568 34418688 46922352 62563136 93844704 125126272 187689408 250252544 375378816 500505088 750757632 1001010176 1501515264 2002020352 3003030528 4004040704 6006061056 12012122112