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12010012022112 = 2531323418409003
BaseRepresentation
bin1010111011000100110010…
…0000000001010101100000
31120112010221101110112011020
42232301030200001111200
53033233001034201422
641313153502245440
72346460202545236
oct256611440012540
946463841415136
1012010012022112
113910465760245
12141b754886880
13691701a29120
142d7405590956
1515c61bda595c
hexaec4c801560

12010012022112 has 96 divisors (see below), whose sum is σ = 35427527186688. Its totient is φ = 3534719248896.

The previous prime is 12010012022033. The next prime is 12010012022117. The reversal of 12010012022112 is 21122021001021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12010012022091 and 12010012022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010012022117) 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, 209175798 + ... + 209233205.

It is an arithmetic number, because the mean of its divisors is an integer number (369036741528).

Almost surely, 212010012022112 is an apocalyptic number.

12010012022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010012022112 is an abundant number, since it is smaller than the sum of its proper divisors (23417515164576).

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

12010012022112 is a wasteful number, since it uses less digits than its factorization.

12010012022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418409052 (or 418409044 counting only the distinct ones).

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

Adding to 12010012022112 its reverse (21122021001021), we get a palindrome (33132033023133).

The spelling of 12010012022112 in words is "twelve trillion, ten billion, twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 9568 14352 28704 418409003 836818006 1255227009 1673636012 2510454018 3347272024 5020908036 5439317039 6694544048 9623407069 10041816072 10878634078 13389088096 16317951117 19246814138 20083632144 21757268156 28870221207 32635902234 38493628276 40167264288 43514536312 57740442414 65271804468 76987256552 87029072624 115480884828 125104291897 130543608936 153974513104 174058145248 230961769656 250208583794 261087217872 307949026208 375312875691 461923539312 500417167588 522174435744 750625751382 923847078624 1000834335176 1501251502764 2001668670352 3002503005528 4003337340704 6005006011056 12010012022112