1122320880 has 640 divisors, whose sum is σ = 4499712000. Its totient is φ = 255467520.

The previous prime is 1122320863. The next prime is 1122320887. The reversal of 1122320880 is 880232211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122320887) 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 127 ways as a sum of consecutive naturals, for example, 27373660 + ... + 27373700.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^1122320880 is an apocalyptic number.

1122320880 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 1122320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856000).

1122320880 is an abundant number, since it is smaller than the sum of its proper divisors (3377391120).

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

1122320880 is a wasteful number, since it uses less digits than its factorization.

1122320880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1122320880 is about 33501.0578937442. The cubic root of 1122320880 is about 1039.2156561493.

The spelling of 1122320880 in words is "one billion, one hundred twenty-two million, three hundred twenty thousand, eight hundred eighty".