12233007456 has 96 divisors (see below), whose sum is σ = 32551642368. Its totient is φ = 4021962240.

The previous prime is 12233007427. The next prime is 12233007461. The reversal of 12233007456 is 65470033221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8453325 + ... + 8454771.

It is an arithmetic number, because the mean of its divisors is an integer number (339079608).

Almost surely, 2^12233007456 is an apocalyptic number.

12233007456 is a gapful number since it is divisible by the number (16) 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 12233007456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275821184).

12233007456 is an abundant number, since it is smaller than the sum of its proper divisors (20318634912).

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

12233007456 is a wasteful number, since it uses less digits than its factorization.

12233007456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 12233007456 in words is "twelve billion, two hundred thirty-three million, seven thousand, four hundred fifty-six".