2002301221200 has 240 divisors, whose sum is σ = 7716136849920. Its totient is φ = 433580981760.

The previous prime is 2002301221187. The next prime is 2002301221211. The reversal of 2002301221200 is 21221032002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2002301221200² (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 2002301221200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6113274 + ... + 6432473.

It is an arithmetic number, because the mean of its divisors is an integer number (32150570208).

Almost surely, 2^{2002301221200} is an apocalyptic number.

2002301221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002301221200 is an abundant number, since it is smaller than the sum of its proper divisors (5713835628720).

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

2002301221200 is a wasteful number, since it uses less digits than its factorization.

2002301221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545794 (or 12545783 counting only the distinct ones).

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

Adding to 2002301221200 its reverse (21221032002), we get a palindrome (2023522253202).

The spelling of 2002301221200 in words is "two trillion, two billion, three hundred one million, two hundred twenty-one thousand, two hundred".