120807914500 has 384 divisors, whose sum is σ = 343547043840. Its totient is φ = 36080640000.

The previous prime is 120807914497. The next prime is 120807914503. The reversal of 120807914500 is 5419708021.

It is an interprime number because it is at equal distance from previous prime (120807914497) and next prime (120807914503).

It is a self number, because there is not a number n which added to its sum of digits gives 120807914500.

It is not an unprimeable number, because it can be changed into a prime (120807914503) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57829456 + ... + 57831544.

It is an arithmetic number, because the mean of its divisors is an integer number (894653760).

Almost surely, 2^120807914500 is an apocalyptic number.

120807914500 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 120807914500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171773521920).

120807914500 is an abundant number, since it is smaller than the sum of its proper divisors (222739129340).

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

120807914500 is a wasteful number, since it uses less digits than its factorization.

120807914500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 120807914500 in words is "one hundred twenty billion, eight hundred seven million, nine hundred fourteen thousand, five hundred".