1131234720 has 384 divisors, whose sum is σ = 4496228352. Its totient is φ = 232243200.

The previous prime is 1131234719. The next prime is 1131234721. The reversal of 1131234720 is 274321311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1131234719) and next prime (1131234721).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1131234721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4693800 + ... + 4694040.

It is an arithmetic number, because the mean of its divisors is an integer number (11708928).

Almost surely, 2^1131234720 is an apocalyptic number.

1131234720 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 1131234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248114176).

1131234720 is an abundant number, since it is smaller than the sum of its proper divisors (3364993632).

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

1131234720 is a wasteful number, since it uses less digits than its factorization.

1131234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1131234720 is about 33633.8329662261. The cubic root of 1131234720 is about 1041.9596680049.

The spelling of 1131234720 in words is "one billion, one hundred thirty-one million, two hundred thirty-four thousand, seven hundred twenty".