12210997936480 has 1152 divisors, whose sum is σ = 37799888716800. Its totient is φ = 3698352193536.

The previous prime is 12210997936447. The next prime is 12210997936513. The reversal of 12210997936480 is 8463979901221.

It is an interprime number because it is at equal distance from previous prime (12210997936447) and next prime (12210997936513).

It is a super-2 number, since 2×12210997936480² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 39012772804 + ... + 39012773116.

It is an arithmetic number, because the mean of its divisors is an integer number (32812403400).

Almost surely, 2^{12210997936480} is an apocalyptic number.

12210997936480 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 12210997936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18899944358400).

12210997936480 is an abundant number, since it is smaller than the sum of its proper divisors (25588890780320).

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

12210997936480 is a wasteful number, since it uses less digits than its factorization.

12210997936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 12210997936480 in words is "twelve trillion, two hundred ten billion, nine hundred ninety-seven million, nine hundred thirty-six thousand, four hundred eighty".