1111290991800 has 384 divisors, whose sum is σ = 3846257395200. Its totient is φ = 263160576000.

The previous prime is 1111290991799. The next prime is 1111290991861. The reversal of 1111290991800 is 81990921111.

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 95 ways as a sum of consecutive naturals, for example, 51066522 + ... + 51088278.

It is an arithmetic number, because the mean of its divisors is an integer number (10016295300).

Almost surely, 2^{1111290991800} is an apocalyptic number.

1111290991800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111290991800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923128697600).

1111290991800 is an abundant number, since it is smaller than the sum of its proper divisors (2734966403400).

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

1111290991800 is a wasteful number, since it uses less digits than its factorization.

1111290991800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21967 (or 21958 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 42.

The spelling of 1111290991800 in words is "one trillion, one hundred eleven billion, two hundred ninety million, nine hundred ninety-one thousand, eight hundred".