3322121220 has 288 divisors, whose sum is σ = 11407084416. Its totient is φ = 775526400.

The previous prime is 3322121213. The next prime is 3322121251. The reversal of 3322121220 is 221212233.

3322121220 is a `hidden beast` number, since 3 + 322 + 121 + 220 = 666.

It is a super-2 number, since 2×3322121220² = 22072978800748576800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3322121193 and 3322121202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10036455 + ... + 10036785.

It is an arithmetic number, because the mean of its divisors is an integer number (39607932).

Almost surely, 2^3322121220 is an apocalyptic number.

3322121220 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 3322121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703542208).

3322121220 is an abundant number, since it is smaller than the sum of its proper divisors (8084963196).

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

3322121220 is a wasteful number, since it uses less digits than its factorization.

3322121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3322121220 is about 57637.8453795768. The cubic root of 3322121220 is about 1492.1248335248.

Adding to 3322121220 its reverse (221212233), we get a palindrome (3543333453).

It can be divided in two parts, 3 and 322121220, that added together give a palindrome (322121223).

The spelling of 3322121220 in words is "three billion, three hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".