120945553920 has 320 divisors, whose sum is σ = 430610653440. Its totient is φ = 32176963584.

The previous prime is 120945553903. The next prime is 120945553921. The reversal of 120945553920 is 29355549021.

120945553920 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 4 + 5 + 553 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (120945553921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33659644 + ... + 33663236.

It is an arithmetic number, because the mean of its divisors is an integer number (1345658292).

Almost surely, 2^120945553920 is an apocalyptic number.

120945553920 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 120945553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215305326720).

120945553920 is an abundant number, since it is smaller than the sum of its proper divisors (309665099520).

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

120945553920 is an equidigital number, since it uses as much as digits as its factorization.

120945553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 120945553920 in words is "one hundred twenty billion, nine hundred forty-five million, five hundred fifty-three thousand, nine hundred twenty".