1110311120000 has 160 divisors (see below), whose sum is σ = 2767343166720. Its totient is φ = 443595392000.

The previous prime is 1110311119999. The next prime is 1110311120053. The reversal of 1110311120000 is 211130111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70952177 + ... + 70967823.

It is an arithmetic number, because the mean of its divisors is an integer number (17295894792).

Almost surely, 2^{1110311120000} is an apocalyptic number.

1110311120000 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 1110311120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383671583360).

1110311120000 is an abundant number, since it is smaller than the sum of its proper divisors (1657032046720).

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

1110311120000 is an frugal number, since it uses more digits than its factorization.

1110311120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16568 (or 16541 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1110311120000 its reverse (211130111), we get a palindrome (1110522250111).

The spelling of 1110311120000 in words is "one trillion, one hundred ten billion, three hundred eleven million, one hundred twenty thousand".