1020122011992 has 128 divisors (see below), whose sum is σ = 2750352537600. Its totient is φ = 314130892800.

The previous prime is 1020122011991. The next prime is 1020122012051. The reversal of 1020122011992 is 2991102210201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020122011991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11878567 + ... + 11964137.

It is an arithmetic number, because the mean of its divisors is an integer number (21487129200).

Almost surely, 2^{1020122011992} is an apocalyptic number.

1020122011992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020122011992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375176268800).

1020122011992 is an abundant number, since it is smaller than the sum of its proper divisors (1730230525608).

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

1020122011992 is a wasteful number, since it uses less digits than its factorization.

1020122011992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86137 (or 86133 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 1020122011992 in words is "one trillion, twenty billion, one hundred twenty-two million, eleven thousand, nine hundred ninety-two".