1111012012800 has 324 divisors, whose sum is σ = 4022415153120. Its totient is φ = 292518420480.

The previous prime is 1111012012709. The next prime is 1111012012801. The reversal of 1111012012800 is 82102101111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1111012012801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4428322 + ... + 4672478.

Almost surely, 2^{1111012012800} is an apocalyptic number.

1111012012800 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 1111012012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011207576560).

1111012012800 is an abundant number, since it is smaller than the sum of its proper divisors (2911403140320).

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

1111012012800 is a wasteful number, since it uses less digits than its factorization.

1111012012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244268 (or 244246 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 1111012012800 its reverse (82102101111), we get a palindrome (1193114113911).

The spelling of 1111012012800 in words is "one trillion, one hundred eleven billion, twelve million, twelve thousand, eight hundred".