12138102720 has 336 divisors, whose sum is σ = 43646628480. Its totient is φ = 3210679296.

The previous prime is 12138102719. The next prime is 12138102727. The reversal of 12138102720 is 2720183121.

12138102720 is a `hidden beast` number, since 12 + 1 + 381 + 0 + 272 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138102727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10808079 + ... + 10809201.

It is an arithmetic number, because the mean of its divisors is an integer number (129900680).

Almost surely, 2^12138102720 is an apocalyptic number.

12138102720 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 12138102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21823314240).

12138102720 is an abundant number, since it is smaller than the sum of its proper divisors (31508525760).

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

12138102720 is a wasteful number, since it uses less digits than its factorization.

12138102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1272 counting only the distinct ones).

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

Adding to 12138102720 its reverse (2720183121), we get a palindrome (14858285841).

The spelling of 12138102720 in words is "twelve billion, one hundred thirty-eight million, one hundred two thousand, seven hundred twenty".