120953129472 has 480 divisors, whose sum is σ = 428078851200. Its totient is φ = 33359413248.

The previous prime is 120953129467. The next prime is 120953129483. The reversal of 120953129472 is 274921359021.

120953129472 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 53 + 129 + 472 = 666.

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, 25254054 + ... + 25258842.

It is an arithmetic number, because the mean of its divisors is an integer number (891830940).

Almost surely, 2^120953129472 is an apocalyptic number.

120953129472 is a gapful number since it is divisible by the number (12) 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 120953129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214039425600).

120953129472 is an abundant number, since it is smaller than the sum of its proper divisors (307125721728).

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

120953129472 is an frugal number, since it uses more digits than its factorization.

120953129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 120953129472 in words is "one hundred twenty billion, nine hundred fifty-three million, one hundred twenty-nine thousand, four hundred seventy-two".