120948400 has 60 divisors (see below), whose sum is σ = 294980872. Its totient is φ = 47646720.

The previous prime is 120948397. The next prime is 120948403. The reversal of 120948400 is 4849021.

It is an interprime number because it is at equal distance from previous prime (120948397) and next prime (120948403).

It is not an unprimeable number, because it can be changed into a prime (120948403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24544 + ... + 29056.

Almost surely, 2^120948400 is an apocalyptic number.

120948400 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 120948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147490436).

120948400 is an abundant number, since it is smaller than the sum of its proper divisors (174032472).

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

120948400 is a wasteful number, since it uses less digits than its factorization.

120948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 120948400 is about 10997.6542953486. The cubic root of 120948400 is about 494.5384263084.

The spelling of 120948400 in words is "one hundred twenty million, nine hundred forty-eight thousand, four hundred".