322003121220 has 216 divisors, whose sum is σ = 1102629097752. Its totient is φ = 75951406080.

The previous prime is 322003121201. The next prime is 322003121329. The reversal of 322003121220 is 22121300223.

322003121220 is a `hidden beast` number, since 32 + 200 + 312 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159756892416 + 162246228804 = 399696^2 + 402798^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 322003121193 and 322003121202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 606072 + ... + 1005648.

Almost surely, 2^322003121220 is an apocalyptic number.

322003121220 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 322003121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551314548876).

322003121220 is an abundant number, since it is smaller than the sum of its proper divisors (780625976532).

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

322003121220 is a wasteful number, since it uses less digits than its factorization.

322003121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399651 (or 399635 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 322003121220 its reverse (22121300223), we get a palindrome (344124421443).

The spelling of 322003121220 in words is "three hundred twenty-two billion, three million, one hundred twenty-one thousand, two hundred twenty".