1122031100304 has 120 divisors (see below), whose sum is σ = 3193067180472. Its totient is φ = 367710658560.

The previous prime is 1122031100291. The next prime is 1122031100321. The reversal of 1122031100304 is 4030011302211.

1122031100304 is a `hidden beast` number, since 11 + 220 + 31 + 100 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1718931600 + 1120312168704 = 41460^2 + 1058448^2 .

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

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, 19937934 + ... + 19994130.

Almost surely, 2^{1122031100304} 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 1122031100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596533590236).

1122031100304 is an abundant number, since it is smaller than the sum of its proper divisors (2071036080168).

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

1122031100304 is a wasteful number, since it uses less digits than its factorization.

1122031100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58545 (or 58536 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1122031100304 its reverse (4030011302211), we get a palindrome (5152042402515).

The spelling of 1122031100304 in words is "one trillion, one hundred twenty-two billion, thirty-one million, one hundred thousand, three hundred four".