120414424000 has 112 divisors (see below), whose sum is σ = 321145546176. Its totient is φ = 44460672000.

The previous prime is 120414423989. The next prime is 120414424027. The reversal of 120414424000 is 424414021.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 474916 + ... + 682915.

It is an arithmetic number, because the mean of its divisors is an integer number (2867370948).

Almost surely, 2^120414424000 is an apocalyptic number.

120414424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120414424000 is an abundant number, since it is smaller than the sum of its proper divisors (200731122176).

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

120414424000 is a wasteful number, since it uses less digits than its factorization.

120414424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157871 (or 1157851 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 120414424000 its reverse (424414021), we get a palindrome (120838838021).

The spelling of 120414424000 in words is "one hundred twenty billion, four hundred fourteen million, four hundred twenty-four thousand".