120651714765120 has 896 divisors, whose sum is σ = 489206399385600. Its totient is φ = 24464023879680.

The previous prime is 120651714765083. The next prime is 120651714765133. The reversal of 120651714765120 is 21567417156021.

It is a super-2 number, since 2×120651714765120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 120651714765120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1170767356 + ... + 1170870404.

Almost surely, 2^{120651714765120} is an apocalyptic number.

120651714765120 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 120651714765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244603199692800).

120651714765120 is an abundant number, since it is smaller than the sum of its proper divisors (368554684620480).

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

120651714765120 is a wasteful number, since it uses less digits than its factorization.

120651714765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103471 (or 103461 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 120651714765120 in words is "one hundred twenty trillion, six hundred fifty-one billion, seven hundred fourteen million, seven hundred sixty-five thousand, one hundred twenty".