12207952512 has 288 divisors, whose sum is σ = 42646387680. Its totient is φ = 3335980032.

The previous prime is 12207952481. The next prime is 12207952513. The reversal of 12207952512 is 21525970221.

12207952512 is a `hidden beast` number, since 1 + 2 + 20 + 79 + 52 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12207952512² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12207952513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1293603 + ... + 1303005.

It is an arithmetic number, because the mean of its divisors is an integer number (148077735).

Almost surely, 2^12207952512 is an apocalyptic number.

12207952512 is a gapful number since it is divisible by the number (12) 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 12207952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21323193840).

12207952512 is an abundant number, since it is smaller than the sum of its proper divisors (30438435168).

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

12207952512 is a wasteful number, since it uses less digits than its factorization.

12207952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12207952512 in words is "twelve billion, two hundred seven million, nine hundred fifty-two thousand, five hundred twelve".