120975400 has 288 divisors, whose sum is σ = 383725440. Its totient is φ = 34467840.

The previous prime is 120975391. The next prime is 120975403. The reversal of 120975400 is 4579021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (120975403) 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 71 ways as a sum of consecutive naturals, for example, 5259789 + ... + 5259811.

It is an arithmetic number, because the mean of its divisors is an integer number (1332380).

Almost surely, 2^120975400 is an apocalyptic number.

120975400 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 120975400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191862720).

120975400 is an abundant number, since it is smaller than the sum of its proper divisors (262750040).

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

120975400 is a wasteful number, since it uses less digits than its factorization.

120975400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 120975400 is about 10998.8817613428. The cubic root of 120975400 is about 494.5752231134.

The spelling of 120975400 in words is "one hundred twenty million, nine hundred seventy-five thousand, four hundred".