120235024515000 has 320 divisors, whose sum is σ = 395503835760000. Its totient is φ = 30365910720000.

The previous prime is 120235024514953. The next prime is 120235024515041. The reversal of 120235024515000 is 515420532021.

It is a super-3 number, since 3×120235024515000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 960672426 + ... + 960797574.

It is an arithmetic number, because the mean of its divisors is an integer number (1235949486750).

Almost surely, 2^{120235024515000} is an apocalyptic number.

120235024515000 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 120235024515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197751917880000).

120235024515000 is an abundant number, since it is smaller than the sum of its proper divisors (275268811245000).

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

120235024515000 is a wasteful number, since it uses less digits than its factorization.

120235024515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128568 (or 128549 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 120235024515000 in words is "one hundred twenty trillion, two hundred thirty-five billion, twenty-four million, five hundred fifteen thousand".