1122002880 has 112 divisors (see below), whose sum is σ = 3599383200. Its totient is φ = 296091648.

The previous prime is 1122002851. The next prime is 1122002927. The reversal of 1122002880 is 882002211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1122002880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87096 + ... + 99144.

It is an arithmetic number, because the mean of its divisors is an integer number (32137350).

Almost surely, 2^1122002880 is an apocalyptic number.

1122002880 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 1122002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799691600).

1122002880 is an abundant number, since it is smaller than the sum of its proper divisors (2477380320).

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

1122002880 is a wasteful number, since it uses less digits than its factorization.

1122002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12166 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1122002880 is about 33496.3114387241. The cubic root of 1122002880 is about 1039.1174959287.

The spelling of 1122002880 in words is "one billion, one hundred twenty-two million, two thousand, eight hundred eighty".