14900208120 has 1024 divisors, whose sum is σ = 63936000000. Its totient is φ = 3072577536.

The previous prime is 14900208083. The next prime is 14900208133. The reversal of 14900208120 is 2180200941.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 204112404 + ... + 204112476.

It is an arithmetic number, because the mean of its divisors is an integer number (62437500).

Almost surely, 2^14900208120 is an apocalyptic number.

14900208120 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 14900208120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968000000).

14900208120 is an abundant number, since it is smaller than the sum of its proper divisors (49035791880).

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

14900208120 is a wasteful number, since it uses less digits than its factorization.

14900208120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 14900208120 in words is "fourteen billion, nine hundred million, two hundred eight thousand, one hundred twenty".