322312002000 has 160 divisors (see below), whose sum is σ = 1039509419520. Its totient is φ = 85918809600.

The previous prime is 322312001953. The next prime is 322312002013. The reversal of 322312002000 is 200213223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20049966 + ... + 20066034.

It is an arithmetic number, because the mean of its divisors is an integer number (6496933872).

Almost surely, 2^322312002000 is an apocalyptic number.

322312002000 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 322312002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519754709760).

322312002000 is an abundant number, since it is smaller than the sum of its proper divisors (717197417520).

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

322312002000 is a wasteful number, since it uses less digits than its factorization.

322312002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19438 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 322312002000 its reverse (200213223), we get a palindrome (322512215223).

The spelling of 322312002000 in words is "three hundred twenty-two billion, three hundred twelve million, two thousand".