3212122320 has 240 divisors, whose sum is σ = 11807887104. Its totient is φ = 776064000.

The previous prime is 3212122301. The next prime is 3212122321. The reversal of 3212122320 is 232212123.

3212122320 is a `hidden beast` number, since 321 + 2 + 1 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3212122293 and 3212122302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3413050 + ... + 3413990.

Almost surely, 2^3212122320 is an apocalyptic number.

3212122320 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 3212122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903943552).

3212122320 is an abundant number, since it is smaller than the sum of its proper divisors (8595764784).

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

3212122320 is a wasteful number, since it uses less digits than its factorization.

3212122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1393 counting only the distinct ones).

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

The square root of 3212122320 is about 56675.5883957105. The cubic root of 3212122320 is about 1475.4710467190.

Adding to 3212122320 its reverse (232212123), we get a palindrome (3444334443).

The spelling of 3212122320 in words is "three billion, two hundred twelve million, one hundred twenty-two thousand, three hundred twenty".