120948300 has 216 divisors, whose sum is σ = 436013760. Its totient is φ = 27734400.

The previous prime is 120948277. The next prime is 120948341. The reversal of 120948300 is 3849021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187779 + ... + 188421.

Almost surely, 2^120948300 is an apocalyptic number.

120948300 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 120948300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218006880).

120948300 is an abundant number, since it is smaller than the sum of its proper divisors (315065460).

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

120948300 is a wasteful number, since it uses less digits than its factorization.

120948300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120948300 is about 10997.6497489236. The cubic root of 120948300 is about 494.5382900138.

The spelling of 120948300 in words is "one hundred twenty million, nine hundred forty-eight thousand, three hundred".