1122243609600 has 297 divisors, whose sum is σ = 4019984514637. Its totient is φ = 299129364480.

The previous prime is 1122243609577. The next prime is 1122243609631. The reversal of 1122243609600 is 69063422211.

It is a happy number.

The square root of 1122243609600 is 1059360.

It is a perfect power (a square), and thus also a powerful number.

1122243609600 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 43 + 6 + 0 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 404007699456 + 718235910144 = 635616^2 + 847488^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 508491697 + ... + 508493903.

Almost surely, 2^{1122243609600} is an apocalyptic number.

1122243609600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1122243609600 is the 1059360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122243609600

1122243609600 is an abundant number, since it is smaller than the sum of its proper divisors (2897740905037).

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

1122243609600 is an frugal number, since it uses more digits than its factorization.

1122243609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 1122243609600 by its sum of digits (36), we get a square (40400769945600 = 6356160²).

1122243609600 divided by its sum of digits (36) gives a square (31173433600 = 176560²).

The spelling of 1122243609600 in words is "one trillion, one hundred twenty-two billion, two hundred forty-three million, six hundred nine thousand, six hundred".