12205156320 has 576 divisors, whose sum is σ = 49665208320. Its totient is φ = 2670796800.

The previous prime is 12205156303. The next prime is 12205156339. The reversal of 12205156320 is 2365150221.

It is a happy number.

12205156320 is a `hidden beast` number, since 1 + 2 + 20 + 5 + 1 + 5 + 632 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43434580 + ... + 43434860.

It is an arithmetic number, because the mean of its divisors is an integer number (86224320).

Almost surely, 2^12205156320 is an apocalyptic number.

12205156320 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 12205156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24832604160).

12205156320 is an abundant number, since it is smaller than the sum of its proper divisors (37460052000).

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

12205156320 is a wasteful number, since it uses less digits than its factorization.

12205156320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

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

The spelling of 12205156320 in words is "twelve billion, two hundred five million, one hundred fifty-six thousand, three hundred twenty".