120957300 has 180 divisors, whose sum is σ = 398581260. Its totient is φ = 31726080.

The previous prime is 120957271. The next prime is 120957301. The reversal of 120957300 is 3759021.

It can be written as a sum of positive squares in 6 ways, for example, as 1296 + 120956004 = 36^2 + 10998^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120957301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 882832 + ... + 882968.

Almost surely, 2^120957300 is an apocalyptic number.

120957300 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 120957300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199290630).

120957300 is an abundant number, since it is smaller than the sum of its proper divisors (277623960).

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

120957300 is a wasteful number, since it uses less digits than its factorization.

120957300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 120957300 is about 10998.0589196458. The cubic root of 120957300 is about 494.5505562306.

The spelling of 120957300 in words is "one hundred twenty million, nine hundred fifty-seven thousand, three hundred".