12633653126052 has 144 divisors (see below), whose sum is σ = 37112806628352. Its totient is φ = 3548939106240.

The previous prime is 12633653126051. The next prime is 12633653126173. The reversal of 12633653126052 is 25062135633621.

12633653126052 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 3 + 6 + 5 + 31 + 2 + 605 + 2 = 666.

It is a super-2 number, since 2×12633653126052² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12633653125989 and 12633653126007.

It is not an unprimeable number, because it can be changed into a prime (12633653126051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8114977 + ... + 9545687.

It is an arithmetic number, because the mean of its divisors is an integer number (257727823808).

Almost surely, 2^{12633653126052} is an apocalyptic number.

12633653126052 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 12633653126052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556403314176).

12633653126052 is an abundant number, since it is smaller than the sum of its proper divisors (24479153502300).

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

12633653126052 is a wasteful number, since it uses less digits than its factorization.

12633653126052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431318 (or 1431313 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

Adding to 12633653126052 its reverse (25062135633621), we get a palindrome (37695788759673).

The spelling of 12633653126052 in words is "twelve trillion, six hundred thirty-three billion, six hundred fifty-three million, one hundred twenty-six thousand, fifty-two".