11972762712 has 128 divisors (see below), whose sum is σ = 34417152000. Its totient is φ = 3852437760.

The previous prime is 11972762687. The next prime is 11972762713. The reversal of 11972762712 is 21726727911.

11972762712 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 2 + 7 + 627 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11972762713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2937508 + ... + 2941580.

It is an arithmetic number, because the mean of its divisors is an integer number (268884000).

Almost surely, 2^11972762712 is an apocalyptic number.

11972762712 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 11972762712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208576000).

11972762712 is an abundant number, since it is smaller than the sum of its proper divisors (22444389288).

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

11972762712 is a wasteful number, since it uses less digits than its factorization.

11972762712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4548 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The spelling of 11972762712 in words is "eleven billion, nine hundred seventy-two million, seven hundred sixty-two thousand, seven hundred twelve".