1122735880 has 64 divisors (see below), whose sum is σ = 2909859840. Its totient is φ = 381894912.

The previous prime is 1122735877. The next prime is 1122735883. The reversal of 1122735880 is 885372211.

It is an interprime number because it is at equal distance from previous prime (1122735877) and next prime (1122735883).

It is not an unprimeable number, because it can be changed into a prime (1122735883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19774 + ... + 51346.

It is an arithmetic number, because the mean of its divisors is an integer number (45466560).

Almost surely, 2^1122735880 is an apocalyptic number.

1122735880 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 1122735880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454929920).

1122735880 is an abundant number, since it is smaller than the sum of its proper divisors (1787123960).

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

1122735880 is a wasteful number, since it uses less digits than its factorization.

1122735880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31718 (or 31714 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 1122735880 is about 33507.2511555335. The cubic root of 1122735880 is about 1039.3437304397.

The spelling of 1122735880 in words is "one billion, one hundred twenty-two million, seven hundred thirty-five thousand, eight hundred eighty".