1122973436928 has 352 divisors, whose sum is σ = 3484959528960. Its totient is φ = 314874593280.

The previous prime is 1122973436917. The next prime is 1122973436939. The reversal of 1122973436928 is 8296343792211.

It is an interprime number because it is at equal distance from previous prime (1122973436917) and next prime (1122973436939).

It is a super-2 number, since 2×1122973436928² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 293893258 + ... + 293897078.

Almost surely, 2^{1122973436928} 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 1122973436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742479764480).

1122973436928 is an abundant number, since it is smaller than the sum of its proper divisors (2361986092032).

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

1122973436928 is a wasteful number, since it uses less digits than its factorization.

1122973436928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4085 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 1122973436928 in words is "one trillion, one hundred twenty-two billion, nine hundred seventy-three million, four hundred thirty-six thousand, nine hundred twenty-eight".