1122013900800 has 2496 divisors, whose sum is σ = 4914285465600. Its totient is φ = 248433868800.

The previous prime is 1122013900759. The next prime is 1122013900807. The reversal of 1122013900800 is 80093102211.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122013900807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21170073574 + ... + 21170073626.

Almost surely, 2^{1122013900800} is an apocalyptic number.

1122013900800 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 1122013900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457142732800).

1122013900800 is an abundant number, since it is smaller than the sum of its proper divisors (3792271564800).

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

1122013900800 is a wasteful number, since it uses less digits than its factorization.

1122013900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1122013900800 in words is "one trillion, one hundred twenty-two billion, thirteen million, nine hundred thousand, eight hundred".