3332211012000 has 576 divisors, whose sum is σ = 13174926579360. Its totient is φ = 791949312000.

The previous prime is 3332211011989. The next prime is 3332211012047. The reversal of 3332211012000 is 2101122333.

3332211012000 is a `hidden beast` number, since 3 + 332 + 211 + 0 + 120 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 90353145744 + 3241857866256 = 300588^2 + 1800516^2 .

It is a super-2 number, since 2×3332211012000² (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 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 95 ways as a sum of consecutive naturals, for example, 13449240 + ... + 13694760.

Almost surely, 2^{3332211012000} is an apocalyptic number.

3332211012000 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 3332211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587463289680).

3332211012000 is an abundant number, since it is smaller than the sum of its proper divisors (9842715567360).

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

3332211012000 is a wasteful number, since it uses less digits than its factorization.

3332211012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245594 (or 245573 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3332211012000 its reverse (2101122333), we get a palindrome (3334312134333).

The spelling of 3332211012000 in words is "three trillion, three hundred thirty-two billion, two hundred eleven million, twelve thousand".