1002121122000 has 320 divisors, whose sum is σ = 3346119548928. Its totient is φ = 257857600000.

The previous prime is 1002121121987. The next prime is 1002121122059. The reversal of 1002121122000 is 2211212001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 19996975 + ... + 20047025.

Almost surely, 2^{1002121122000} is an apocalyptic number.

1002121122000 is a gapful number since it is divisible by the number (10) 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 1002121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673059774464).

1002121122000 is an abundant number, since it is smaller than the sum of its proper divisors (2343998426928).

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

1002121122000 is a wasteful number, since it uses less digits than its factorization.

1002121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50195 (or 50179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002121122000 its reverse (2211212001), we get a palindrome (1004332334001).

Subtracting from 1002121122000 its reverse (2211212001), we obtain a palindrome (999909909999).

The spelling of 1002121122000 in words is "one trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand".