1121001000984 has 128 divisors (see below), whose sum is σ = 3299115744000. Its totient is φ = 351467500032.

The previous prime is 1121001000979. The next prime is 1121001000991. The reversal of 1121001000984 is 4890001001211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 5850687 + ... + 6039249.

It is an arithmetic number, because the mean of its divisors is an integer number (25774341750).

Almost surely, 2^{1121001000984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121001000984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649557872000).

1121001000984 is an abundant number, since it is smaller than the sum of its proper divisors (2178114743016).

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

1121001000984 is a wasteful number, since it uses less digits than its factorization.

1121001000984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190214 (or 190204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 1121001000984 in words is "one trillion, one hundred twenty-one billion, one million, nine hundred eighty-four", and thus it is an aban number.