12050576706432 has 512 divisors, whose sum is σ = 37155646080000. Its totient is φ = 3425308508160.

The previous prime is 12050576706383. The next prime is 12050576706437. The reversal of 12050576706432 is 23460767505021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12050576706437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3802641744 + ... + 3802644912.

It is an arithmetic number, because the mean of its divisors is an integer number (72569621250).

Almost surely, 2^{12050576706432} is an apocalyptic number.

12050576706432 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 12050576706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577823040000).

12050576706432 is an abundant number, since it is smaller than the sum of its proper divisors (25105069373568).

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

12050576706432 is a wasteful number, since it uses less digits than its factorization.

12050576706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 12050576706432 in words is "twelve trillion, fifty billion, five hundred seventy-six million, seven hundred six thousand, four hundred thirty-two".