120550913860608 has 3520 divisors, whose sum is σ = 504016492953600. Its totient is φ = 27740269117440.

The previous prime is 120550913860607. The next prime is 120550913860759. The reversal of 120550913860608 is 806068319055021.

120550913860608 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 509 + 13 + 8 + 60 + 60 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120550913860603) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 131176184373 + ... + 131176185291.

It is an arithmetic number, because the mean of its divisors is an integer number (143186503680).

Almost surely, 2^{120550913860608} is an apocalyptic number.

120550913860608 is a gapful number since it is divisible by the number (18) 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 120550913860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252008246476800).

120550913860608 is an abundant number, since it is smaller than the sum of its proper divisors (383465579092992).

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

120550913860608 is a wasteful number, since it uses less digits than its factorization.

120550913860608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 120550913860608 in words is "one hundred twenty trillion, five hundred fifty billion, nine hundred thirteen million, eight hundred sixty thousand, six hundred eight".