1121093767800 has 576 divisors, whose sum is σ = 3993575957280. Its totient is φ = 292179363840.

The previous prime is 1121093767789. The next prime is 1121093767847. The reversal of 1121093767800 is 87673901211.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 816527914 + ... + 816529286.

Almost surely, 2^{1121093767800} is an apocalyptic number.

1121093767800 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 1121093767800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996787978640).

1121093767800 is an abundant number, since it is smaller than the sum of its proper divisors (2872482189480).

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

1121093767800 is a wasteful number, since it uses less digits than its factorization.

1121093767800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1121093767800 in words is "one trillion, one hundred twenty-one billion, ninety-three million, seven hundred sixty-seven thousand, eight hundred".