12201615360 has 896 divisors, whose sum is σ = 50957683200. Its totient is φ = 2736783360.

The previous prime is 12201615359. The next prime is 12201615367. The reversal of 12201615360 is 6351610221.

12201615360 is a `hidden beast` number, since 12 + 2 + 0 + 1 + 615 + 36 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201615367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206807011 + ... + 206807069.

Almost surely, 2^12201615360 is an apocalyptic number.

12201615360 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 12201615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478841600).

12201615360 is an abundant number, since it is smaller than the sum of its proper divisors (38756067840).

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

12201615360 is a wasteful number, since it uses less digits than its factorization.

12201615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12201615360 in words is "twelve billion, two hundred one million, six hundred fifteen thousand, three hundred sixty".