1131768120 has 192 divisors, whose sum is σ = 3949240320. Its totient is φ = 254161152.

The previous prime is 1131768101. The next prime is 1131768137. The reversal of 1131768120 is 218671311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8911497 + ... + 8911623.

It is an arithmetic number, because the mean of its divisors is an integer number (20568960).

Almost surely, 2^1131768120 is an apocalyptic number.

1131768120 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 1131768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974620160).

1131768120 is an abundant number, since it is smaller than the sum of its proper divisors (2817472200).

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

1131768120 is a wasteful number, since it uses less digits than its factorization.

1131768120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1131768120 is about 33641.7615472198. The cubic root of 1131768120 is about 1042.1234106087.

The spelling of 1131768120 in words is "one billion, one hundred thirty-one million, seven hundred sixty-eight thousand, one hundred twenty".