12243211112400 has 120 divisors (see below), whose sum is σ = 39220014178080. Its totient is φ = 3264779051520.

The previous prime is 12243211112369. The next prime is 12243211112413. The reversal of 12243211112400 is 421111234221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 65461419 + ... + 65648181.

It is an arithmetic number, because the mean of its divisors is an integer number (326833451484).

Almost surely, 2^{12243211112400} is an apocalyptic number.

12243211112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243211112400 is an abundant number, since it is smaller than the sum of its proper divisors (26976803065680).

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

12243211112400 is a wasteful number, since it uses less digits than its factorization.

12243211112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241413 (or 241402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12243211112400 its reverse (421111234221), we get a palindrome (12664322346621).

The spelling of 12243211112400 in words is "twelve trillion, two hundred forty-three billion, two hundred eleven million, one hundred twelve thousand, four hundred".