1133115104000 has 288 divisors, whose sum is σ = 3144907164672. Its totient is φ = 403269120000.

The previous prime is 1133115103987. The next prime is 1133115104041. The reversal of 1133115104000 is 4015113311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16509755 + ... + 16578245.

It is an arithmetic number, because the mean of its divisors is an integer number (10919816544).

Almost surely, 2^{1133115104000} is an apocalyptic number.

1133115104000 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 1133115104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572453582336).

1133115104000 is an abundant number, since it is smaller than the sum of its proper divisors (2011792060672).

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

1133115104000 is an equidigital number, since it uses as much as digits as its factorization.

1133115104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68580 (or 68556 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1133115104000 in words is "one trillion, one hundred thirty-three billion, one hundred fifteen million, one hundred four thousand".