1002013122000 has 640 divisors, whose sum is σ = 3582243864576. Its totient is φ = 238944000000.

The previous prime is 1002013121971. The next prime is 1002013122043. The reversal of 1002013122000 is 2213102001.

1002013122000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1273205607 + ... + 1273206393.

Almost surely, 2^{1002013122000} is an apocalyptic number.

1002013122000 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 1002013122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791121932288).

1002013122000 is an abundant number, since it is smaller than the sum of its proper divisors (2580230742576).

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

1002013122000 is a wasteful number, since it uses less digits than its factorization.

1002013122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1002013122000 its reverse (2213102001), we get a palindrome (1004226224001).

The spelling of 1002013122000 in words is "one trillion, two billion, thirteen million, one hundred twenty-two thousand".