13912128000 has 640 divisors, whose sum is σ = 52549136640. Its totient is φ = 3627417600.

The previous prime is 13912127969. The next prime is 13912128011. The reversal of 13912128000 is 82121931.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 143423952 + ... + 143424048.

It is an arithmetic number, because the mean of its divisors is an integer number (82108026).

Almost surely, 2^13912128000 is an apocalyptic number.

13912128000 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 13912128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274568320).

13912128000 is an abundant number, since it is smaller than the sum of its proper divisors (38637008640).

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

13912128000 is an frugal number, since it uses more digits than its factorization.

13912128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 13912128000 its reverse (82121931), we get a palindrome (13994249931).

The spelling of 13912128000 in words is "thirteen billion, nine hundred twelve million, one hundred twenty-eight thousand".