3224218572120 has 256 divisors, whose sum is σ = 11906516643840. Its totient is φ = 680177000448.

The previous prime is 3224218572083. The next prime is 3224218572121. The reversal of 3224218572120 is 212758124223.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224218572121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95893552 + ... + 95927168.

It is an arithmetic number, because the mean of its divisors is an integer number (46509830640).

Almost surely, 2^{3224218572120} is an apocalyptic number.

3224218572120 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 3224218572120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953258321920).

3224218572120 is an abundant number, since it is smaller than the sum of its proper divisors (8682298071720).

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

3224218572120 is a wasteful number, since it uses less digits than its factorization.

3224218572120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42434 (or 42430 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 3224218572120 in words is "three trillion, two hundred twenty-four billion, two hundred eighteen million, five hundred seventy-two thousand, one hundred twenty".