3332121323220 has 768 divisors, whose sum is σ = 12143532441600. Its totient is φ = 753154744320.

The previous prime is 3332121323173. The next prime is 3332121323221. The reversal of 3332121323220 is 223231212333.

3332121323220 is a `hidden beast` number, since 3 + 3 + 321 + 2 + 13 + 2 + 322 + 0 = 666.

3332121323220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3332121323220² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332121323221) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 242170701 + ... + 242184459.

It is an arithmetic number, because the mean of its divisors is an integer number (15811891200).

Almost surely, 2^{3332121323220} is an apocalyptic number.

3332121323220 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 3332121323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071766220800).

3332121323220 is an abundant number, since it is smaller than the sum of its proper divisors (8811411118380).

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

3332121323220 is a wasteful number, since it uses less digits than its factorization.

3332121323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885 (or 13877 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3332121323220 its reverse (223231212333), we get a palindrome (3555352535553).

The spelling of 3332121323220 in words is "three trillion, three hundred thirty-two billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred twenty".