12213114042400 has 72 divisors (see below), whose sum is σ = 29816161424784. Its totient is φ = 4885098681600.

The previous prime is 12213114042379. The next prime is 12213114042407. The reversal of 12213114042400 is 424041131221.

It is a super-2 number, since 2×12213114042400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12213114042407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28654855 + ... + 29077945.

It is an arithmetic number, because the mean of its divisors is an integer number (414113353122).

Almost surely, 2^{12213114042400} is an apocalyptic number.

12213114042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213114042400 is an abundant number, since it is smaller than the sum of its proper divisors (17603047382384).

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

12213114042400 is a wasteful number, since it uses less digits than its factorization.

12213114042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459194 (or 459181 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 12213114042400 its reverse (424041131221), we get a palindrome (12637155173621).

The spelling of 12213114042400 in words is "twelve trillion, two hundred thirteen billion, one hundred fourteen million, forty-two thousand, four hundred".