120929951602720 has 288 divisors, whose sum is σ = 324895943877120. Its totient is φ = 42277997537280.

The previous prime is 120929951602693. The next prime is 120929951602787. The reversal of 120929951602720 is 27206159929021.

It is a super-2 number, since 2×120929951602720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1410860665 + ... + 1410946375.

It is an arithmetic number, because the mean of its divisors is an integer number (1128110916240).

Almost surely, 2^{120929951602720} is an apocalyptic number.

120929951602720 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 120929951602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162447971938560).

120929951602720 is an abundant number, since it is smaller than the sum of its proper divisors (203965992274400).

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

120929951602720 is a wasteful number, since it uses less digits than its factorization.

120929951602720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87656 (or 87629 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 120929951602720 in words is "one hundred twenty trillion, nine hundred twenty-nine billion, nine hundred fifty-one million, six hundred two thousand, seven hundred twenty".