120100400 has 120 divisors (see below), whose sum is σ = 335811840. Its totient is φ = 40423680.

The previous prime is 120100391. The next prime is 120100423. The reversal of 120100400 is 4001021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164837 + ... + 165563.

It is an arithmetic number, because the mean of its divisors is an integer number (2798432).

Almost surely, 2^120100400 is an apocalyptic number.

120100400 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 120100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

120100400 is an abundant number, since it is smaller than the sum of its proper divisors (215711440).

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

120100400 is a wasteful number, since it uses less digits than its factorization.

120100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 120100400 is about 10959.0328040389. The cubic root of 120100400 is about 493.3799363490.

Adding to 120100400 its reverse (4001021), we get a palindrome (124101421).

The spelling of 120100400 in words is "one hundred twenty million, one hundred thousand, four hundred".