120014102400 has 192 divisors, whose sum is σ = 400713809520. Its totient is φ = 31565168640.

The previous prime is 120014102363. The next prime is 120014102407. The reversal of 120014102400 is 4201410021.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 120014102400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120014102407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615174 + ... + 786426.

Almost surely, 2^120014102400 is an apocalyptic number.

120014102400 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 120014102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200356904760).

120014102400 is an abundant number, since it is smaller than the sum of its proper divisors (280699707120).

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

120014102400 is a wasteful number, since it uses less digits than its factorization.

120014102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171353 (or 171336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120014102400 its reverse (4201410021), we get a palindrome (124215512421).

The spelling of 120014102400 in words is "one hundred twenty billion, fourteen million, one hundred two thousand, four hundred".