3302312220000 has 960 divisors, whose sum is σ = 12787426713600. Its totient is φ = 825984000000.

The previous prime is 3302312219989. The next prime is 3302312220019. The reversal of 3302312220000 is 222132033.

It is a happy number.

3302312220000 is a `hidden beast` number, since 330 + 2 + 312 + 2 + 20 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3302312220000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4397219625 + ... + 4397220375.

It is an arithmetic number, because the mean of its divisors is an integer number (13320236160).

Almost surely, 2^{3302312220000} is an apocalyptic number.

3302312220000 is a gapful number since it is divisible by the number (30) 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 3302312220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393713356800).

3302312220000 is an abundant number, since it is smaller than the sum of its proper divisors (9485114493600).

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

3302312220000 is a wasteful number, since it uses less digits than its factorization.

3302312220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3302312220000 its reverse (222132033), we get a palindrome (3302534352033).

The spelling of 3302312220000 in words is "three trillion, three hundred two billion, three hundred twelve million, two hundred twenty thousand".