12952101532032 has 768 divisors, whose sum is σ = 41546722089600. Its totient is φ = 3848336179200.

The previous prime is 12952101531997. The next prime is 12952101532043. The reversal of 12952101532032 is 23023510125921.

12952101532032 is a `hidden beast` number, since 1 + 2 + 95 + 2 + 1 + 0 + 1 + 532 + 0 + 32 = 666.

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

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, 23941037682 + ... + 23941038222.

Almost surely, 2^{12952101532032} is an apocalyptic number.

12952101532032 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 12952101532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773361044800).

12952101532032 is an abundant number, since it is smaller than the sum of its proper divisors (28594620557568).

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

12952101532032 is a wasteful number, since it uses less digits than its factorization.

12952101532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 12952101532032 its reverse (23023510125921), we get a palindrome (35975611657953).

The spelling of 12952101532032 in words is "twelve trillion, nine hundred fifty-two billion, one hundred one million, five hundred thirty-two thousand, thirty-two".