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12052289009880 = 2335571960715359
BaseRepresentation
bin1010111101100010010001…
…1001111011100011011000
31120200012001202002000200000
42233120210121323203120
53034431041441304010
641344424541013000
72352514646164320
oct257304431734330
946605052060600
1012052289009880
11392738aa41959
121427993254160
136956ab757312
142d949631a280
1515d7937157c0
hexaf62467b8d8

12052289009880 has 768 divisors, whose sum is σ = 48950673408000. Its totient is φ = 2605349795328.

The previous prime is 12052289009869. The next prime is 12052289009983. The reversal of 12052289009880 is 8890098225021.

It is a happy number.

12052289009880 is a `hidden beast` number, since 1 + 20 + 522 + 8 + 9 + 0 + 0 + 98 + 8 + 0 = 666.

It is a super-2 number, since 2×120522890098802 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 784697641 + ... + 784712999.

It is an arithmetic number, because the mean of its divisors is an integer number (63737856000).

Almost surely, 212052289009880 is an apocalyptic number.

12052289009880 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 12052289009880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24475336704000).

12052289009880 is an abundant number, since it is smaller than the sum of its proper divisors (36898384398120).

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

12052289009880 is a wasteful number, since it uses less digits than its factorization.

12052289009880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16018 (or 16002 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 12052289009880 in words is "twelve trillion, fifty-two billion, two hundred eighty-nine million, nine thousand, eight hundred eighty".