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12660026112 = 28331831601
BaseRepresentation
bin10111100101001100…
…01010101100000000
31012200022001221222000
423302212022230000
5201411431313422
65452124144000
7625504306056
oct136246125400
935608057860
1012660026112
115407288aa8
122553998000
131269b19216
1488154c1d6
154e1698cac
hex2f298ab00

12660026112 has 72 divisors (see below), whose sum is σ = 37437944880. Its totient is φ = 4220006400.

The previous prime is 12660026111. The next prime is 12660026143. The reversal of 12660026112 is 21162006621.

12660026112 is a `hidden beast` number, since 1 + 26 + 600 + 26 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×126600261122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12660026111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908889 + ... + 922712.

Almost surely, 212660026112 is an apocalyptic number.

12660026112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12660026112 is an abundant number, since it is smaller than the sum of its proper divisors (24777918768).

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

12660026112 is an equidigital number, since it uses as much as digits as its factorization.

12660026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831626 (or 1831606 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12660026112 in words is "twelve billion, six hundred sixty million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 1831601 3663202 5494803 7326404 10989606 14652808 16484409 21979212 29305616 32968818 43958424 49453227 58611232 65937636 87916848 98906454 117222464 131875272 175833696 197812908 234444928 263750544 351667392 395625816 468889856 527501088 703334784 791251632 1055002176 1406669568 1582503264 2110004352 3165006528 4220008704 6330013056 12660026112