12074225280 has 384 divisors, whose sum is σ = 42146334720. Its totient is φ = 2938650624.

The previous prime is 12074225257. The next prime is 12074225389. The reversal of 12074225280 is 8252247021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12074225280² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41208814 + ... + 41209106.

It is an arithmetic number, because the mean of its divisors is an integer number (109756080).

Almost surely, 2^12074225280 is an apocalyptic number.

12074225280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12074225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073167360).

12074225280 is an abundant number, since it is smaller than the sum of its proper divisors (30072109440).

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

12074225280 is a wasteful number, since it uses less digits than its factorization.

12074225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 12074225280 in words is "twelve billion, seventy-four million, two hundred twenty-five thousand, two hundred eighty".