1121112333000 has 896 divisors, whose sum is σ = 4315707527040. Its totient is φ = 270216000000.

The previous prime is 1121112332957. The next prime is 1121112333013. The reversal of 1121112333000 is 3332111211.

1121112333000 is a `hidden beast` number, since 1 + 1 + 211 + 123 + 330 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2012768722 + ... + 2012769278.

It is an arithmetic number, because the mean of its divisors is an integer number (4816637865).

Almost surely, 2^{1121112333000} is an apocalyptic number.

1121112333000 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 1121112333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157853763520).

1121112333000 is an abundant number, since it is smaller than the sum of its proper divisors (3194595194040).

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

1121112333000 is a wasteful number, since it uses less digits than its factorization.

1121112333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1121112333000 its reverse (3332111211), we get a palindrome (1124444444211).

The spelling of 1121112333000 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, three hundred thirty-three thousand".