322120005600 has 288 divisors, whose sum is σ = 1095860797920. Its totient is φ = 82079907840.

The previous prime is 322120005547. The next prime is 322120005601. The reversal of 322120005600 is 6500021223.

It is a super-2 number, since 2×322120005600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322120005601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6727344 + ... + 6775056.

It is an arithmetic number, because the mean of its divisors is an integer number (3805072215).

Almost surely, 2^322120005600 is an apocalyptic number.

322120005600 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 322120005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547930398960).

322120005600 is an abundant number, since it is smaller than the sum of its proper divisors (773740792320).

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

322120005600 is a wasteful number, since it uses less digits than its factorization.

322120005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47862 (or 47849 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 322120005600 its reverse (6500021223), we get a palindrome (328620026823).

The spelling of 322120005600 in words is "three hundred twenty-two billion, one hundred twenty million, five thousand, six hundred".