12251878569840 has 480 divisors, whose sum is σ = 47883525883200. Its totient is φ = 2568541667328.

The previous prime is 12251878569829. The next prime is 12251878569859. The reversal of 12251878569840 is 4896587815221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23746936 + ... + 24257384.

It is an arithmetic number, because the mean of its divisors is an integer number (99757345590).

Almost surely, 2^{12251878569840} is an apocalyptic number.

12251878569840 is a gapful number since it is divisible by the number (10) 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 12251878569840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941762941600).

12251878569840 is an abundant number, since it is smaller than the sum of its proper divisors (35631647313360).

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

12251878569840 is a wasteful number, since it uses less digits than its factorization.

12251878569840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510649 (or 510636 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 66.

The spelling of 12251878569840 in words is "twelve trillion, two hundred fifty-one billion, eight hundred seventy-eight million, five hundred sixty-nine thousand, eight hundred forty".