12083226624 has 768 divisors, whose sum is σ = 45287424000. Its totient is φ = 3105423360.

The previous prime is 12083226619. The next prime is 12083226691. The reversal of 12083226624 is 42662238021.

12083226624 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 3 + 2 + 26 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227985382 + ... + 227985434.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 2^12083226624 is an apocalyptic number.

12083226624 is a gapful number since it is divisible by the number (14) 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 12083226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712000).

12083226624 is an abundant number, since it is smaller than the sum of its proper divisors (33204197376).

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

12083226624 is a wasteful number, since it uses less digits than its factorization.

12083226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 120832 and 26624, that added together give a square (147456 = 384²).

The spelling of 12083226624 in words is "twelve billion, eighty-three million, two hundred twenty-six thousand, six hundred twenty-four".