120193166520 has 1024 divisors, whose sum is σ = 494213529600. Its totient is φ = 25403258880.

The previous prime is 120193166501. The next prime is 120193166543. The reversal of 120193166520 is 25661391021.

120193166520 is a `hidden beast` number, since 120 + 1 + 9 + 3 + 1 + 6 + 6 + 520 = 666.

It is a super-3 number, since 3×120193166520³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 719719477 + ... + 719719643.

It is an arithmetic number, because the mean of its divisors is an integer number (482630400).

Almost surely, 2^120193166520 is an apocalyptic number.

120193166520 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 120193166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247106764800).

120193166520 is an abundant number, since it is smaller than the sum of its proper divisors (374020363080).

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

120193166520 is a wasteful number, since it uses less digits than its factorization.

120193166520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 120193166520 in words is "one hundred twenty billion, one hundred ninety-three million, one hundred sixty-six thousand, five hundred twenty".