14011512789120 has 512 divisors, whose sum is σ = 57478331842560. Its totient is φ = 2817563443200.

The previous prime is 14011512789091. The next prime is 14011512789137. The reversal of 14011512789120 is 2198721511041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3054414 + ... + 6111666.

It is an arithmetic number, because the mean of its divisors is an integer number (112262366880).

Almost surely, 2^{14011512789120} is an apocalyptic number.

14011512789120 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 14011512789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739165921280).

14011512789120 is an abundant number, since it is smaller than the sum of its proper divisors (43466819053440).

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

14011512789120 is a wasteful number, since it uses less digits than its factorization.

14011512789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057324 (or 3057312 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The spelling of 14011512789120 in words is "fourteen trillion, eleven billion, five hundred twelve million, seven hundred eighty-nine thousand, one hundred twenty".