1123005692800 has 96 divisors (see below), whose sum is σ = 2937361907520. Its totient is φ = 422778593280.

The previous prime is 1123005692797. The next prime is 1123005692813. The reversal of 1123005692800 is 82965003211.

It is a super-2 number, since 2×1123005692800² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1123005692800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10267344 + ... + 10376143.

It is an arithmetic number, because the mean of its divisors is an integer number (30597519870).

Almost surely, 2^{1123005692800} is an apocalyptic number.

1123005692800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123005692800 is an abundant number, since it is smaller than the sum of its proper divisors (1814356214720).

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

1123005692800 is a wasteful number, since it uses less digits than its factorization.

1123005692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20643528 (or 20643511 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1123005692800 in words is "one trillion, one hundred twenty-three billion, five million, six hundred ninety-two thousand, eight hundred".