12103720329888 has 720 divisors, whose sum is σ = 39973329573408. Its totient is φ = 3588839654400.

The previous prime is 12103720329817. The next prime is 12103720329901. The reversal of 12103720329888 is 88892302730121.

12103720329888 is a `hidden beast` number, since 1 + 210 + 3 + 7 + 20 + 329 + 8 + 88 = 666.

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 119 ways as a sum of consecutive naturals, for example, 8161644795 + ... + 8161646277.

Almost surely, 2^{12103720329888} is an apocalyptic number.

12103720329888 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 12103720329888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19986664786704).

12103720329888 is an abundant number, since it is smaller than the sum of its proper divisors (27869609243520).

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

12103720329888 is a wasteful number, since it uses less digits than its factorization.

12103720329888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12103720329888 in words is "twelve trillion, one hundred three billion, seven hundred twenty million, three hundred twenty-nine thousand, eight hundred eighty-eight".