2002022112300 has 72 divisors (see below), whose sum is σ = 6620019791616. Its totient is φ = 457605053760.

The previous prime is 2002022112289. The next prime is 2002022112313. The reversal of 2002022112300 is 32112202002.

It is a happy number.

It is a super-2 number, since 2×2002022112300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002022112300.

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 23 ways as a sum of consecutive naturals, for example, 476669832 + ... + 476674031.

It is an arithmetic number, because the mean of its divisors is an integer number (91944719328).

Almost surely, 2^{2002022112300} is an apocalyptic number.

2002022112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002022112300 is an abundant number, since it is smaller than the sum of its proper divisors (4617997679316).

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

2002022112300 is a wasteful number, since it uses less digits than its factorization.

2002022112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953343887 (or 953343880 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2002022112300 its reverse (32112202002), we get a palindrome (2034134314302).

The spelling of 2002022112300 in words is "two trillion, two billion, twenty-two million, one hundred twelve thousand, three hundred".