120971730880 has 896 divisors, whose sum is σ = 406292060160. Its totient is φ = 33097973760.

The previous prime is 120971730871. The next prime is 120971730899. The reversal of 120971730880 is 88037179021.

It is a super-3 number, since 3×120971730880³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120971730880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 699258474 + ... + 699258646.

It is an arithmetic number, because the mean of its divisors is an integer number (453450960).

Almost surely, 2^120971730880 is an apocalyptic number.

120971730880 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 120971730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203146030080).

120971730880 is an abundant number, since it is smaller than the sum of its proper divisors (285320329280).

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

120971730880 is a wasteful number, since it uses less digits than its factorization.

120971730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 120971730880 in words is "one hundred twenty billion, nine hundred seventy-one million, seven hundred thirty thousand, eight hundred eighty".