2002122034000 has 160 divisors (see below), whose sum is σ = 5332514054400. Its totient is φ = 720975168000.

The previous prime is 2002122033997. The next prime is 2002122034051. The reversal of 2002122034000 is 4302212002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1824226 + ... + 2707774.

It is an arithmetic number, because the mean of its divisors is an integer number (33328212840).

Almost surely, 2^{2002122034000} is an apocalyptic number.

2002122034000 is a gapful number since it is divisible by the number (20) 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 2002122034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666257027200).

2002122034000 is an abundant number, since it is smaller than the sum of its proper divisors (3330392020400).

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

2002122034000 is a wasteful number, since it uses less digits than its factorization.

2002122034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883686 (or 883670 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2002122034000 its reverse (4302212002), we get a palindrome (2006424246002).

The spelling of 2002122034000 in words is "two trillion, two billion, one hundred twenty-two million, thirty-four thousand".