322125323520 has 1152 divisors, whose sum is σ = 1391940845568. Its totient is φ = 61312204800.

The previous prime is 322125323501. The next prime is 322125323537. The reversal of 322125323520 is 25323521223.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 695734809 + ... + 695735271.

It is an arithmetic number, because the mean of its divisors is an integer number (1208281984).

Almost surely, 2^322125323520 is an apocalyptic number.

322125323520 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 322125323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695970422784).

322125323520 is an abundant number, since it is smaller than the sum of its proper divisors (1069815522048).

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

322125323520 is a wasteful number, since it uses less digits than its factorization.

322125323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 322125323520 its reverse (25323521223), we get a palindrome (347448844743).

The spelling of 322125323520 in words is "three hundred twenty-two billion, one hundred twenty-five million, three hundred twenty-three thousand, five hundred twenty".