12101546439552 has 256 divisors, whose sum is σ = 34635190763520. Its totient is φ = 3732827535360.

The previous prime is 12101546439533. The next prime is 12101546439557. The reversal of 12101546439552 is 25593464510121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101546439557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365396273 + ... + 1365405135.

It is an arithmetic number, because the mean of its divisors is an integer number (135293713920).

Almost surely, 2^{12101546439552} is an apocalyptic number.

12101546439552 is a gapful number since it is divisible by the number (12) 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 12101546439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317595381760).

12101546439552 is an abundant number, since it is smaller than the sum of its proper divisors (22533644323968).

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

12101546439552 is a wasteful number, since it uses less digits than its factorization.

12101546439552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13921 (or 13909 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 12101546439552 in words is "twelve trillion, one hundred one billion, five hundred forty-six million, four hundred thirty-nine thousand, five hundred fifty-two".