120403120400 has 30 divisors (see below), whose sum is σ = 289268497722. Its totient is φ = 48161248000.

The previous prime is 120403120399. The next prime is 120403120421. The reversal of 120403120400 is 4021304021.

120403120400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27422035216 + 92981085184 = 165596^2 + 304928^2 .

It is a super-2 number, since 2×120403120400² (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 150503501 + ... + 150504300.

Almost surely, 2^120403120400 is an apocalyptic number.

120403120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120403120400 is an abundant number, since it is smaller than the sum of its proper divisors (168865377322).

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

120403120400 is a wasteful number, since it uses less digits than its factorization.

120403120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301007819 (or 301007808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 120403120400 its reverse (4021304021), we get a palindrome (124424424421).

The spelling of 120403120400 in words is "one hundred twenty billion, four hundred three million, one hundred twenty thousand, four hundred".