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12920750513280 = 2732517131952109
BaseRepresentation
bin1011110000000101100010…
…1111101001110010000000
31200202012201022121110221200
42330001120233221302000
53143143144112411110
643251413313021200
72502331146154221
oct274013057516200
950665638543850
1012920750513280
114131728904425
121548165254800
1372956319a8cc
14329520c13248
151761720176c0
hexbc058be9c80

12920750513280 has 192 divisors, whose sum is σ = 47241494422200. Its totient is φ = 3242855006208.

The previous prime is 12920750513267. The next prime is 12920750513287. The reversal of 12920750513280 is 8231505702921.

12920750513280 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 0 + 7 + 50 + 513 + 2 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7654606756416 + 5266143756864 = 2766696^2 + 2294808^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12920750513287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65878135 + ... + 66073974.

Almost surely, 212920750513280 is an apocalyptic number.

12920750513280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12920750513280 is an abundant number, since it is smaller than the sum of its proper divisors (34320743908920).

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

12920750513280 is a wasteful number, since it uses less digits than its factorization.

12920750513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131952151 (or 131952136 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12920750513280 in words is "twelve trillion, nine hundred twenty billion, seven hundred fifty million, five hundred thirteen thousand, two hundred eighty".