120352651303500 has 576 divisors, whose sum is σ = 474299675006976. Its totient is φ = 24958588608000.

The previous prime is 120352651303421. The next prime is 120352651303513. The reversal of 120352651303500 is 5303156253021.

120352651303500 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 526 + 51 + 30 + 3 + 50 + 0 = 666.

It is a super-2 number, since 2×120352651303500² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173944234 + ... + 174634766.

It is an arithmetic number, because the mean of its divisors is an integer number (823436935776).

Almost surely, 2^{120352651303500} is an apocalyptic number.

120352651303500 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 120352651303500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149837503488).

120352651303500 is an abundant number, since it is smaller than the sum of its proper divisors (353947023703476).

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

120352651303500 is a wasteful number, since it uses less digits than its factorization.

120352651303500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691079 (or 691064 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 120352651303500 in words is "one hundred twenty trillion, three hundred fifty-two billion, six hundred fifty-one million, three hundred three thousand, five hundred".