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12996155694720 = 27351123913011979
BaseRepresentation
bin1011110100011110011100…
…1111100101111010000000
31201000102100102202120211110
42331013213033211322000
53200412111324212340
643350203531443320
72510640565503312
oct275074717457200
951012312676743
1012996155694720
1141607030982a0
12155a8aa2b6540
137336bc3aa973
1432d03563d7b2
151780d6e18680
hexbd1e73e5e80

12996155694720 has 512 divisors, whose sum is σ = 45438091776000. Its totient is φ = 3133405184000.

The previous prime is 12996155694703. The next prime is 12996155694727. The reversal of 12996155694720 is 2749655169921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (12996155694727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6567030691 + ... + 6567032669.

It is an arithmetic number, because the mean of its divisors is an integer number (88746273000).

Almost surely, 212996155694720 is an apocalyptic number.

12996155694720 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 12996155694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719045888000).

12996155694720 is an abundant number, since it is smaller than the sum of its proper divisors (32441936081280).

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

12996155694720 is a wasteful number, since it uses less digits than its factorization.

12996155694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 12996155694720 in words is "twelve trillion, nine hundred ninety-six billion, one hundred fifty-five million, six hundred ninety-four thousand, seven hundred twenty".