11129562972 has 120 divisors (see below), whose sum is σ = 32260820592. Its totient is φ = 3317241600.

The previous prime is 11129562967. The next prime is 11129563001. The reversal of 11129562972 is 27926592111.

11129562972 is a `hidden beast` number, since 1 + 1 + 12 + 9 + 5 + 629 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191808 + ... + 243000.

Almost surely, 2^11129562972 is an apocalyptic number.

11129562972 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 11129562972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130410296).

11129562972 is an abundant number, since it is smaller than the sum of its proper divisors (21131257620).

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

11129562972 is a wasteful number, since it uses less digits than its factorization.

11129562972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51281 (or 51270 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 11129562972 in words is "eleven billion, one hundred twenty-nine million, five hundred sixty-two thousand, nine hundred seventy-two".