1002111211992 has 128 divisors (see below), whose sum is σ = 2877402528000. Its totient is φ = 287634608640.

The previous prime is 1002111211991. The next prime is 1002111212119. The reversal of 1002111211992 is 2991121112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002111211991) 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, 33356434 + ... + 33386462.

It is an arithmetic number, because the mean of its divisors is an integer number (22479707250).

Almost surely, 2^{1002111211992} is an apocalyptic number.

1002111211992 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 1002111211992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438701264000).

1002111211992 is an abundant number, since it is smaller than the sum of its proper divisors (1875291316008).

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

1002111211992 is a wasteful number, since it uses less digits than its factorization.

1002111211992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36721 (or 36717 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 30.

Adding to 1002111211992 its reverse (2991121112001), we get a palindrome (3993232323993).

The spelling of 1002111211992 in words is "one trillion, two billion, one hundred eleven million, two hundred eleven thousand, nine hundred ninety-two".