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12242977750960 = 245113117322311633
BaseRepresentation
bin1011001000101000101001…
…0101101111111110110000
31121100102021011120202011221
42302022022111233332300
53101042104301012320
642012202450314424
72402345254556005
oct262121225577660
947312234522157
1012242977750960
1139a0243848450
121458930588a14
136aa67a985818
143047c59218ac
151637044c83aa
hexb228a56ffb0

12242977750960 has 320 divisors, whose sum is σ = 32386983100416. Its totient is φ = 4263900364800.

The previous prime is 12242977750891. The next prime is 12242977750963. The reversal of 12242977750960 is 6905777924221.

It is not an unprimeable number, because it can be changed into a prime (12242977750963) 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 63 ways as a sum of consecutive naturals, for example, 1052429304 + ... + 1052440936.

Almost surely, 212242977750960 is an apocalyptic number.

12242977750960 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 12242977750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193491550208).

12242977750960 is an abundant number, since it is smaller than the sum of its proper divisors (20144005349456).

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

12242977750960 is a wasteful number, since it uses less digits than its factorization.

12242977750960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 61.

The spelling of 12242977750960 in words is "twelve trillion, two hundred forty-two billion, nine hundred seventy-seven million, seven hundred fifty thousand, nine hundred sixty".