1125624821800 has 24 divisors (see below), whose sum is σ = 2617077711150. Its totient is φ = 450249928640.

The previous prime is 1125624821777. The next prime is 1125624821807. The reversal of 1125624821800 is 81284265211.

It can be written as a sum of positive squares in 3 ways, for example, as 1024641964516 + 100982857284 = 1012246^2 + 317778^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1125624821807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2814061855 + ... + 2814062254.

Almost surely, 2^{1125624821800} is an apocalyptic number.

1125624821800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125624821800 is an abundant number, since it is smaller than the sum of its proper divisors (1491452889350).

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

1125624821800 is a wasteful number, since it uses less digits than its factorization.

1125624821800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628124125 (or 5628124116 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 1125624821800 in words is "one trillion, one hundred twenty-five billion, six hundred twenty-four million, eight hundred twenty-one thousand, eight hundred".