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12931301376000 = 2213553729
BaseRepresentation
bin1011110000101100110110…
…1000000000000000000000
31200210012221121220211200000
42330023031220000000000
53143331301123013000
643300320254400000
72503153463053020
oct274131550000000
950705847824600
1012931301376000
114136152565787
12154a20a800000
1372a55503b147
14329c421aba80
1517658d439000
hexbc2cda00000

12931301376000 has 2112 divisors, whose sum is σ = 57160632372480. Its totient is φ = 2853804441600.

The previous prime is 12931301375933. The next prime is 12931301376001. The reversal of 12931301376000 is 67310313921.

12931301376000 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 1 + 30 + 13 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12931301376001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445906943986 + ... + 445906944014.

Almost surely, 212931301376000 is an apocalyptic number.

12931301376000 is a gapful number since it is divisible by the number (10) 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 12931301376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28580316186240).

12931301376000 is an abundant number, since it is smaller than the sum of its proper divisors (44229330996480).

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

12931301376000 is an frugal number, since it uses more digits than its factorization.

12931301376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Adding to 12931301376000 its reverse (67310313921), we get a palindrome (12998611689921).

The spelling of 12931301376000 in words is "twelve trillion, nine hundred thirty-one billion, three hundred one million, three hundred seventy-six thousand".