12213377614272 has 448 divisors, whose sum is σ = 33931937931264. Its totient is φ = 3874079784960.

The previous prime is 12213377614267. The next prime is 12213377614279. The reversal of 12213377614272 is 27241677331221.

It is a happy number.

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 (12213377614279) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26378785113 + ... + 26378785575.

Almost surely, 2^{12213377614272} is an apocalyptic number.

12213377614272 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 12213377614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16965968965632).

12213377614272 is an abundant number, since it is smaller than the sum of its proper divisors (21718560316992).

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

12213377614272 is a wasteful number, since it uses less digits than its factorization.

12213377614272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The spelling of 12213377614272 in words is "twelve trillion, two hundred thirteen billion, three hundred seventy-seven million, six hundred fourteen thousand, two hundred seventy-two".