322212133010020 has 96 divisors (see below), whose sum is σ = 743325433200000. Its totient is φ = 116348382796800.

The previous prime is 322212133010011. The next prime is 322212133010129. The reversal of 322212133010020 is 20010331212223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 322212133009973 and 322212133010000.

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, 113292600 + ... + 116101840.

It is an arithmetic number, because the mean of its divisors is an integer number (7742973262500).

Almost surely, 2^{322212133010020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322212133010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371662716600000).

322212133010020 is an abundant number, since it is smaller than the sum of its proper divisors (421113300189980).

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

322212133010020 is a wasteful number, since it uses less digits than its factorization.

322212133010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812909 (or 2812907 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 322212133010020 its reverse (20010331212223), we get a palindrome (342222464222243).

The spelling of 322212133010020 in words is "three hundred twenty-two trillion, two hundred twelve billion, one hundred thirty-three million, ten thousand, twenty".