2002020012000 has 144 divisors (see below), whose sum is σ = 7105169150352. Its totient is φ = 533871993600.

The previous prime is 2002020011933. The next prime is 2002020012029. The reversal of 2002020012000 is 2100202002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27769834 + ... + 27841833.

It is an arithmetic number, because the mean of its divisors is an integer number (49341452433).

Almost surely, 2^{2002020012000} is an apocalyptic number.

2002020012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020012000 is an abundant number, since it is smaller than the sum of its proper divisors (5103149138352).

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

2002020012000 is a wasteful number, since it uses less digits than its factorization.

2002020012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55611698 (or 55611677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2002020012000 its reverse (2100202002), we get a palindrome (2004120214002).

The spelling of 2002020012000 in words is "two trillion, two billion, twenty million, twelve thousand".