12055612320 has 480 divisors, whose sum is σ = 45161335296. Its totient is φ = 3023308800.

The previous prime is 12055612319. The next prime is 12055612321. The reversal of 12055612320 is 2321655021.

It is a happy number.

12055612320 is a `hidden beast` number, since 1 + 20 + 5 + 5 + 612 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12055612319) and next prime (12055612321).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12055612321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14864715 + ... + 14865525.

Almost surely, 2^12055612320 is an apocalyptic number.

12055612320 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 12055612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580667648).

12055612320 is an abundant number, since it is smaller than the sum of its proper divisors (33105722976).

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

12055612320 is a wasteful number, since it uses less digits than its factorization.

12055612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 12055612320 in words is "twelve billion, fifty-five million, six hundred twelve thousand, three hundred twenty".