11231431120 has 240 divisors, whose sum is σ = 32853053520. Its totient is φ = 3539386368.

The previous prime is 11231431109. The next prime is 11231431129. The reversal of 11231431120 is 2113413211.

It can be written as a sum of positive squares in 8 ways, for example, as 1104631696 + 10126799424 = 33236^2 + 100632^2 .

It is a super-2 number, since 2×11231431120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231431129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22065426 + ... + 22065934.

It is an arithmetic number, because the mean of its divisors is an integer number (136887723).

Almost surely, 2^11231431120 is an apocalyptic number.

11231431120 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 11231431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426526760).

11231431120 is an abundant number, since it is smaller than the sum of its proper divisors (21621622400).

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

11231431120 is a wasteful number, since it uses less digits than its factorization.

11231431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11231431120 its reverse (2113413211), we get a palindrome (13344844331).

The spelling of 11231431120 in words is "eleven billion, two hundred thirty-one million, four hundred thirty-one thousand, one hundred twenty".