1121144883300 has 108 divisors (see below), whose sum is σ = 3784486878900. Its totient is φ = 275974122240.

The previous prime is 1121144883293. The next prime is 1121144883311. The reversal of 1121144883300 is 33884411211.

It can be written as a sum of positive squares in 6 ways, for example, as 241586012196 + 879558871104 = 491514^2 + 937848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47900475 + ... + 47923874.

It is an arithmetic number, because the mean of its divisors is an integer number (35041545175).

Almost surely, 2^{1121144883300} is an apocalyptic number.

1121144883300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121144883300 is an abundant number, since it is smaller than the sum of its proper divisors (2663341995600).

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

1121144883300 is a wasteful number, since it uses less digits than its factorization.

1121144883300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95824382 (or 95824372 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1121144883300 in words is "one trillion, one hundred twenty-one billion, one hundred forty-four million, eight hundred eighty-three thousand, three hundred".