120334001400 has 72 divisors (see below), whose sum is σ = 404121694080. Its totient is φ = 32089066560.

The previous prime is 120334001399. The next prime is 120334001423. The reversal of 120334001400 is 4100433021.

120334001400 is a `hidden beast` number, since 120 + 3 + 3 + 400 + 140 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33424312 + ... + 33427911.

Almost surely, 2^120334001400 is an apocalyptic number.

120334001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120334001400 is an abundant number, since it is smaller than the sum of its proper divisors (283787692680).

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

120334001400 is a wasteful number, since it uses less digits than its factorization.

120334001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66852245 (or 66852233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120334001400 its reverse (4100433021), we get a palindrome (124434434421).

The spelling of 120334001400 in words is "one hundred twenty billion, three hundred thirty-four million, one thousand, four hundred".