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12001112100000 = 25325513334569
BaseRepresentation
bin1010111010100011101000…
…0001100000110010100000
31120111021222010200122012100
42232220322001200302200
53033111234144200000
641305122414130400
72346023513502402
oct256507201406240
946437863618170
1012001112100000
113907708a04011
121419a901b0a00
13690913c18c1a
142d6bdd58ab72
1515c29a896a00
hexaea3a060ca0

12001112100000 has 216 divisors, whose sum is σ = 42657476113980. Its totient is φ = 3200296320000.

The previous prime is 12001112099987. The next prime is 12001112100037. The reversal of 12001112100000 is 121110021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 412888494096 + 11588223605904 = 642564^2 + 3404148^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5767285 + ... + 7567284.

Almost surely, 212001112100000 is an apocalyptic number.

12001112100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001112100000 is an abundant number, since it is smaller than the sum of its proper divisors (30656364013980).

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

12001112100000 is an equidigital number, since it uses as much as digits as its factorization.

12001112100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334610 (or 13334579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001112100000 its reverse (121110021), we get a palindrome (12001233210021).

The spelling of 12001112100000 in words is "twelve trillion, one billion, one hundred twelve million, one hundred thousand".