12038818910976 has 1152 divisors, whose sum is σ = 43007787648000. Its totient is φ = 3272903884800.

The previous prime is 12038818910971. The next prime is 12038818910983. The reversal of 12038818910976 is 67901981883021.

12038818910976 is a `hidden beast` number, since 1 + 2 + 0 + 388 + 1 + 89 + 109 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12038818910976² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12038818910971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16979998110 + ... + 16979998818.

It is an arithmetic number, because the mean of its divisors is an integer number (37333149000).

Almost surely, 2^{12038818910976} is an apocalyptic number.

12038818910976 is a gapful number since it is divisible by the number (16) 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 12038818910976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21503893824000).

12038818910976 is an abundant number, since it is smaller than the sum of its proper divisors (30968968737024).

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

12038818910976 is a wasteful number, since it uses less digits than its factorization.

12038818910976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 12038818910976 in words is "twelve trillion, thirty-eight billion, eight hundred eighteen million, nine hundred ten thousand, nine hundred seventy-six".