1122122022128 has 80 divisors (see below), whose sum is σ = 2305314950400. Its totient is φ = 528185333760.

The previous prime is 1122122022121. The next prime is 1122122022163. The reversal of 1122122022128 is 8212202212211.

It is a junction number, because it is equal to n+sod(n) for n = 1122122022097 and 1122122022106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122122022121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33446450 + ... + 33479982.

It is an arithmetic number, because the mean of its divisors is an integer number (28816436880).

Almost surely, 2^{1122122022128} 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 1122122022128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152657475200).

1122122022128 is an abundant number, since it is smaller than the sum of its proper divisors (1183192928272).

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

1122122022128 is a wasteful number, since it uses less digits than its factorization.

1122122022128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35370 (or 35364 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 1122122022128 its reverse (8212202212211), we get a palindrome (9334324234339).

The spelling of 1122122022128 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty-eight".