1122897600 has 672 divisors, whose sum is σ = 4762195200. Its totient is φ = 254361600.

The previous prime is 1122897553. The next prime is 1122897613. The reversal of 1122897600 is 67982211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8078331 + ... + 8078469.

It is an arithmetic number, because the mean of its divisors is an integer number (7086600).

Almost surely, 2^1122897600 is an apocalyptic number.

1122897600 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 1122897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381097600).

1122897600 is an abundant number, since it is smaller than the sum of its proper divisors (3639297600).

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

1122897600 is a wasteful number, since it uses less digits than its factorization.

1122897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1122897600 is about 33509.6642776379. The cubic root of 1122897600 is about 1039.3936307476.

The spelling of 1122897600 in words is "one billion, one hundred twenty-two million, eight hundred ninety-seven thousand, six hundred".