11633182120 has 96 divisors (see below), whose sum is σ = 30487159080. Its totient is φ = 3983400960.

The previous prime is 11633182097. The next prime is 11633182123. The reversal of 11633182120 is 2128133611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7541532964 + 4091649156 = 86842^2 + 63966^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11633182123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723392 + ... + 1730128.

Almost surely, 2^11633182120 is an apocalyptic number.

11633182120 is a gapful number since it is divisible by the number (10) 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 11633182120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15243579540).

11633182120 is an abundant number, since it is smaller than the sum of its proper divisors (18853976960).

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

11633182120 is a wasteful number, since it uses less digits than its factorization.

11633182120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

It can be divided in two parts, 11633 and 182120, that added together give a triangular number (193753 = T₆₂₂).

The spelling of 11633182120 in words is "eleven billion, six hundred thirty-three million, one hundred eighty-two thousand, one hundred twenty".