1122032031984 has 120 divisors (see below), whose sum is σ = 3206385572832. Its totient is φ = 366194165760.

The previous prime is 1122032031971. The next prime is 1122032032013. The reversal of 1122032031984 is 4891302302211.

1122032031984 is a `hidden beast` number, since 1 + 1 + 220 + 320 + 31 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050589 + ... + 1829699.

Almost surely, 2^{1122032031984} 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 1122032031984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603192786416).

1122032031984 is an abundant number, since it is smaller than the sum of its proper divisors (2084353540848).

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

1122032031984 is a wasteful number, since it uses less digits than its factorization.

1122032031984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779335 (or 779326 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1122032031984 in words is "one trillion, one hundred twenty-two billion, thirty-two million, thirty-one thousand, nine hundred eighty-four".