12101688144480 has 192 divisors, whose sum is σ = 41864903136000. Its totient is φ = 2914052843520.

The previous prime is 12101688144433. The next prime is 12101688144527. The reversal of 12101688144480 is 8444188610121.

It is an interprime number because it is at equal distance from previous prime (12101688144433) and next prime (12101688144527).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6904510 + ... + 8477949.

It is an arithmetic number, because the mean of its divisors is an integer number (218046370500).

Almost surely, 2^{12101688144480} is an apocalyptic number.

12101688144480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101688144480 is an abundant number, since it is smaller than the sum of its proper divisors (29763214991520).

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

12101688144480 is a wasteful number, since it uses less digits than its factorization.

12101688144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15382637 (or 15382629 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 12101688144480 in words is "twelve trillion, one hundred one billion, six hundred eighty-eight million, one hundred forty-four thousand, four hundred eighty".