3332210221200 has 240 divisors, whose sum is σ = 12313076198400. Its totient is φ = 754529640960.

The previous prime is 3332210221163. The next prime is 3332210221231. The reversal of 3332210221200 is 21220122333.

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 2×3332210221200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954900 + ... + 2752499.

It is an arithmetic number, because the mean of its divisors is an integer number (51304484160).

Almost surely, 2^{3332210221200} is an apocalyptic number.

3332210221200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3332210221200 is an abundant number, since it is smaller than the sum of its proper divisors (8980865977200).

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

3332210221200 is a wasteful number, since it uses less digits than its factorization.

3332210221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707534 (or 3707523 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3332210221200 its reverse (21220122333), we get a palindrome (3353430343533).

The spelling of 3332210221200 in words is "three trillion, three hundred thirty-two billion, two hundred ten million, two hundred twenty-one thousand, two hundred".