322120213213020 has 384 divisors, whose sum is σ = 1005236110771200. Its totient is φ = 76707151331328.

The previous prime is 322120213212937. The next prime is 322120213213049. The reversal of 322120213213020 is 20312312021223.

It is a super-2 number, since 2×322120213213020² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1004365246 + ... + 1004685914.

It is an arithmetic number, because the mean of its divisors is an integer number (2617802371800).

Almost surely, 2^{322120213213020} is an apocalyptic number.

322120213213020 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 322120213213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502618055385600).

322120213213020 is an abundant number, since it is smaller than the sum of its proper divisors (683115897558180).

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

322120213213020 is a wasteful number, since it uses less digits than its factorization.

322120213213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321397 (or 321395 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 322120213213020 its reverse (20312312021223), we get a palindrome (342432525234243).

The spelling of 322120213213020 in words is "three hundred twenty-two trillion, one hundred twenty billion, two hundred thirteen million, two hundred thirteen thousand, twenty".