11124731772 has 216 divisors, whose sum is σ = 35910472416. Its totient is φ = 2841696000.

The previous prime is 11124731753. The next prime is 11124731777. The reversal of 11124731772 is 27713742111.

11124731772 is a `hidden beast` number, since 1 + 1 + 12 + 473 + 177 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124731777) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1857022 + ... + 1863002.

Almost surely, 2^11124731772 is an apocalyptic number.

11124731772 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 11124731772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955236208).

11124731772 is an abundant number, since it is smaller than the sum of its proper divisors (24785740644).

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

11124731772 is a wasteful number, since it uses less digits than its factorization.

11124731772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6065 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The spelling of 11124731772 in words is "eleven billion, one hundred twenty-four million, seven hundred thirty-one thousand, seven hundred seventy-two".