12381102720 has 896 divisors, whose sum is σ = 53941386240. Its totient is φ = 2651553792.

The previous prime is 12381102719. The next prime is 12381102749. The reversal of 12381102720 is 2720118321.

12381102720 is a `hidden beast` number, since 1 + 2 + 381 + 10 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 55520529 + ... + 55520751.

It is an arithmetic number, because the mean of its divisors is an integer number (60202440).

Almost surely, 2^12381102720 is an apocalyptic number.

12381102720 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 12381102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970693120).

12381102720 is an abundant number, since it is smaller than the sum of its proper divisors (41560283520).

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

12381102720 is an equidigital number, since it uses as much as digits as its factorization.

12381102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12381102720 in words is "twelve billion, three hundred eighty-one million, one hundred two thousand, seven hundred twenty".