1122952800 has 72 divisors (see below), whose sum is σ = 3655219176. Its totient is φ = 299453440.

The previous prime is 1122952793. The next prime is 1122952807. The reversal of 1122952800 is 82592211.

It is an interprime number because it is at equal distance from previous prime (1122952793) and next prime (1122952807).

It is a super-2 number, since 2×1122952800² = 2522045982055680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122952807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231549 + ... + 236348.

It is an arithmetic number, because the mean of its divisors is an integer number (50766933).

Almost surely, 2^1122952800 is an apocalyptic number.

1122952800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122952800 is an abundant number, since it is smaller than the sum of its proper divisors (2532266376).

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

1122952800 is a wasteful number, since it uses less digits than its factorization.

1122952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467920 (or 467907 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1122952800 is about 33510.4879105035. The cubic root of 1122952800 is about 1039.4106621576.

The spelling of 1122952800 in words is "one billion, one hundred twenty-two million, nine hundred fifty-two thousand, eight hundred".