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12090572665992 = 23323747131737129
BaseRepresentation
bin1010111111110000111001…
…0010011111010010001000
31120210211212210112020222100
42233330032102133102020
53041042443100302432
641414155444353400
72355341442662142
oct257741622372210
946724783466870
1012090572665992
113941646084377
1214332983a5860
136991a005a082
142db288989c92
1515e7846bb07c
hexaff0e49f488

12090572665992 has 192 divisors, whose sum is σ = 34608076588800. Its totient is φ = 3808533980160.

The previous prime is 12090572665937. The next prime is 12090572665993. The reversal of 12090572665992 is 29956627509021.

12090572665992 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 572 + 6 + 6 + 59 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12090572665993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16033684 + ... + 16770812.

It is an arithmetic number, because the mean of its divisors is an integer number (180250398900).

Almost surely, 212090572665992 is an apocalyptic number.

12090572665992 is a gapful number since it is divisible by the number (12) 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 12090572665992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304038294400).

12090572665992 is an abundant number, since it is smaller than the sum of its proper divisors (22517503922808).

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

12090572665992 is a wasteful number, since it uses less digits than its factorization.

12090572665992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737356 (or 737349 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 12090572665992 in words is "twelve trillion, ninety billion, five hundred seventy-two million, six hundred sixty-five thousand, nine hundred ninety-two".