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122427755520 = 2103571959929
BaseRepresentation
bin111001000000101000…
…0110100110000000000
3102201000012102100222120
41302001100310300000
54001213001134040
6132124215404240
711562605515560
oct1620120646000
9381005370876
10122427755520
1147a15304844
121b888983680
13b7111704b5
145cd594cda0
1532b81b07d0
hex1c81434c00

122427755520 has 352 divisors, whose sum is σ = 471078566400. Its totient is φ = 26510229504.

The previous prime is 122427755507. The next prime is 122427755531. The reversal of 122427755520 is 25557724221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2012916 + ... + 2072844.

Almost surely, 2122427755520 is an apocalyptic number.

122427755520 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 122427755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235539283200).

122427755520 is an abundant number, since it is smaller than the sum of its proper divisors (348650810880).

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

122427755520 is a wasteful number, since it uses less digits than its factorization.

122427755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59983 (or 59965 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 42.

The spelling of 122427755520 in words is "one hundred twenty-two billion, four hundred twenty-seven million, seven hundred fifty-five thousand, five hundred twenty".