12195002952 has 320 divisors, whose sum is σ = 38792793600. Its totient is φ = 3545856000.

The previous prime is 12195002933. The next prime is 12195002957. The reversal of 12195002952 is 25920059121.

It is a happy number.

12195002952 is a `hidden beast` number, since 121 + 9 + 500 + 29 + 5 + 2 = 666.

12195002952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12195002957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50601552 + ... + 50601792.

It is an arithmetic number, because the mean of its divisors is an integer number (121227480).

Almost surely, 2^12195002952 is an apocalyptic number.

12195002952 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 12195002952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396396800).

12195002952 is an abundant number, since it is smaller than the sum of its proper divisors (26597790648).

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

12195002952 is a wasteful number, since it uses less digits than its factorization.

12195002952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 12195002952 in words is "twelve billion, one hundred ninety-five million, two thousand, nine hundred fifty-two".