12251178144 has 144 divisors (see below), whose sum is σ = 35377261920. Its totient is φ = 4021148160.

The previous prime is 12251178139. The next prime is 12251178167. The reversal of 12251178144 is 44187115221.

12251178144 is a `hidden beast` number, since 1 + 22 + 511 + 7 + 81 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12251178099 and 12251178108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5514954 + ... + 5517174.

It is an arithmetic number, because the mean of its divisors is an integer number (245675430).

Almost surely, 2^12251178144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251178144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688630960).

12251178144 is an abundant number, since it is smaller than the sum of its proper divisors (23126083776).

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

12251178144 is a wasteful number, since it uses less digits than its factorization.

12251178144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2512 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The spelling of 12251178144 in words is "twelve billion, two hundred fifty-one million, one hundred seventy-eight thousand, one hundred forty-four".