120956035200 has 1536 divisors, whose sum is σ = 549744814080. Its totient is φ = 22560768000.

The previous prime is 120956035171. The next prime is 120956035201. The reversal of 120956035200 is 2530659021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (120956035201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 393993447 + ... + 393993753.

It is an arithmetic number, because the mean of its divisors is an integer number (357906780).

Almost surely, 2^120956035200 is an apocalyptic number.

120956035200 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 120956035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274872407040).

120956035200 is an abundant number, since it is smaller than the sum of its proper divisors (428788778880).

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

120956035200 is a wasteful number, since it uses less digits than its factorization.

120956035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 120956035200 in words is "one hundred twenty billion, nine hundred fifty-six million, thirty-five thousand, two hundred".