12138435054720 has 1536 divisors, whose sum is σ = 49388913100800. Its totient is φ = 2720350863360.

The previous prime is 12138435054709. The next prime is 12138435054731. The reversal of 12138435054720 is 2745053483121.

12138435054720 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 84 + 3 + 5 + 0 + 547 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12138435054709) and next prime (12138435054731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6924377364 + ... + 6924379116.

It is an arithmetic number, because the mean of its divisors is an integer number (32154240300).

Almost surely, 2^{12138435054720} is an apocalyptic number.

12138435054720 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 12138435054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24694456550400).

12138435054720 is an abundant number, since it is smaller than the sum of its proper divisors (37250478046080).

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

12138435054720 is a wasteful number, since it uses less digits than its factorization.

12138435054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12138435054720 in words is "twelve trillion, one hundred thirty-eight billion, four hundred thirty-five million, fifty-four thousand, seven hundred twenty".