120314400000 has 216 divisors, whose sum is σ = 400247070048. Its totient is φ = 32083200000.

The previous prime is 120314399969. The next prime is 120314400023. The reversal of 120314400000 is 4413021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2374935 + ... + 2425065.

Almost surely, 2^120314400000 is an apocalyptic number.

120314400000 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 120314400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200123535024).

120314400000 is an abundant number, since it is smaller than the sum of its proper divisors (279932670048).

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

120314400000 is an frugal number, since it uses more digits than its factorization.

120314400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50175 (or 50141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120314400000 its reverse (4413021), we get a palindrome (120318813021).

The spelling of 120314400000 in words is "one hundred twenty billion, three hundred fourteen million, four hundred thousand".