120613686913800 has 1536 divisors, whose sum is σ = 450331176960000. Its totient is φ = 29609911296000.

The previous prime is 120613686913781. The next prime is 120613686913861. The reversal of 120613686913800 is 8319686316021.

120613686913800 is a `hidden beast` number, since 1 + 2 + 0 + 613 + 6 + 8 + 6 + 9 + 13 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×120613686913800² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72353740567 + ... + 72353742233.

It is an arithmetic number, because the mean of its divisors is an integer number (293184360000).

Almost surely, 2^{120613686913800} is an apocalyptic number.

120613686913800 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 120613686913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225165588480000).

120613686913800 is an abundant number, since it is smaller than the sum of its proper divisors (329717490046200).

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

120613686913800 is a wasteful number, since it uses less digits than its factorization.

120613686913800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 120613686913800 in words is "one hundred twenty trillion, six hundred thirteen billion, six hundred eighty-six million, nine hundred thirteen thousand, eight hundred".