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12665797632000 = 213365319247
BaseRepresentation
bin1011100001001111110001…
…0111100110000000000000
31122211211122012210012000000
42320103330113212000000
53130004023143211000
642534330452000000
72445034162344312
oct270237427460000
948754565705000
1012665797632000
114043597626167
121506872000000
1370b4c1c69c46
1431b0566c77b2
1516e6ee4a3000
hexb84fc5e6000

12665797632000 has 2352 divisors, whose sum is σ = 51086294730432. Its totient is φ = 3131700019200.

The previous prime is 12665797631989. The next prime is 12665797632001. The reversal of 12665797632000 is 23679756621.

12665797632000 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 579 + 7 + 63 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12665797632001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 269485055977 + ... + 269485056023.

Almost surely, 212665797632000 is an apocalyptic number.

12665797632000 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 12665797632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25543147365216).

12665797632000 is an abundant number, since it is smaller than the sum of its proper divisors (38420497098432).

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

12665797632000 is an frugal number, since it uses more digits than its factorization.

12665797632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 12665797632000 in words is "twelve trillion, six hundred sixty-five billion, seven hundred ninety-seven million, six hundred thirty-two thousand".