12251119468224 has 224 divisors, whose sum is σ = 41270351109120. Its totient is φ = 3119648329728.

The previous prime is 12251119468199. The next prime is 12251119468229. The reversal of 12251119468224 is 42286491115221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12251119468229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11582724 + ... + 12596099.

It is an arithmetic number, because the mean of its divisors is an integer number (184242638880).

Almost surely, 2^{12251119468224} is an apocalyptic number.

12251119468224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12251119468224 is an abundant number, since it is smaller than the sum of its proper divisors (29019231640896).

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

12251119468224 is a wasteful number, since it uses less digits than its factorization.

12251119468224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24178887 (or 24178877 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 12251119468224 in words is "twelve trillion, two hundred fifty-one billion, one hundred nineteen million, four hundred sixty-eight thousand, two hundred twenty-four".