12140981915328 has 896 divisors, whose sum is σ = 43831191951360. Its totient is φ = 3216723148800.

The previous prime is 12140981915299. The next prime is 12140981915351. The reversal of 12140981915328 is 82351918904121.

12140981915328 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 98 + 19 + 1 + 532 + 8 = 666.

It is a super-2 number, since 2×12140981915328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4334515528 + ... + 4334518328.

Almost surely, 2^{12140981915328} is an apocalyptic number.

12140981915328 is a gapful number since it is divisible by the number (18) 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 12140981915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21915595975680).

12140981915328 is an abundant number, since it is smaller than the sum of its proper divisors (31690210036032).

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

12140981915328 is a wasteful number, since it uses less digits than its factorization.

12140981915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 12140981915328 in words is "twelve trillion, one hundred forty billion, nine hundred eighty-one million, nine hundred fifteen thousand, three hundred twenty-eight".