12215681637600 has 576 divisors, whose sum is σ = 46857849905664. Its totient is φ = 2706451537920.

The previous prime is 12215681637559. The next prime is 12215681637641. The reversal of 12215681637600 is 673618651221.

It is an interprime number because it is at equal distance from previous prime (12215681637559) and next prime (12215681637641).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12215681637600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73820554 + ... + 73985846.

It is an arithmetic number, because the mean of its divisors is an integer number (81350433864).

Almost surely, 2^{12215681637600} is an apocalyptic number.

12215681637600 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 12215681637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23428924952832).

12215681637600 is an abundant number, since it is smaller than the sum of its proper divisors (34642168268064).

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

12215681637600 is a wasteful number, since it uses less digits than its factorization.

12215681637600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165459 (or 165446 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 12215681637600 in words is "twelve trillion, two hundred fifteen billion, six hundred eighty-one million, six hundred thirty-seven thousand, six hundred".