120014024214400 has 192 divisors, whose sum is σ = 327560019504480. Its totient is φ = 43217325916160.

The previous prime is 120014024214353. The next prime is 120014024214527. The reversal of 120014024214400 is 4412420410021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46708369 + ... + 49210768.

Almost surely, 2^{120014024214400} is an apocalyptic number.

120014024214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120014024214400 is an abundant number, since it is smaller than the sum of its proper divisors (207545995290080).

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

120014024214400 is a wasteful number, since it uses less digits than its factorization.

120014024214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95919201 (or 95919184 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 120014024214400 its reverse (4412420410021), we get a palindrome (124426444624421).

The spelling of 120014024214400 in words is "one hundred twenty trillion, fourteen billion, twenty-four million, two hundred fourteen thousand, four hundred".