12251221442400 has 72 divisors (see below), whose sum is σ = 39877725802824. Its totient is φ = 3266992384000.

The previous prime is 12251221442347. The next prime is 12251221442407. The reversal of 12251221442400 is 424412215221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12251221442407) 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, 2552335401 + ... + 2552340200.

It is an arithmetic number, because the mean of its divisors is an integer number (553857302817).

Almost surely, 2^{12251221442400} is an apocalyptic number.

12251221442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12251221442400 is an abundant number, since it is smaller than the sum of its proper divisors (27626504360424).

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

12251221442400 is a wasteful number, since it uses less digits than its factorization.

12251221442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104675624 (or 5104675611 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 12251221442400 its reverse (424412215221), we get a palindrome (12675633657621).

The spelling of 12251221442400 in words is "twelve trillion, two hundred fifty-one billion, two hundred twenty-one million, four hundred forty-two thousand, four hundred".