321122311020 has 288 divisors, whose sum is σ = 1138296606720. Its totient is φ = 71764392960.

The previous prime is 321122311001. The next prime is 321122311051. The reversal of 321122311020 is 20113221123.

321122311020 is a `hidden beast` number, since 321 + 12 + 2 + 311 + 0 + 20 = 666.

It is a super-2 number, since 2×321122311020² (a number of 24 digits) contains 22 as substring.

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 = 321122310984 and 321122311002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10236960 + ... + 10268280.

Almost surely, 2^321122311020 is an apocalyptic number.

321122311020 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 321122311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569148303360).

321122311020 is an abundant number, since it is smaller than the sum of its proper divisors (817174295700).

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

321122311020 is a wasteful number, since it uses less digits than its factorization.

321122311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31525 (or 31520 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321122311020 its reverse (20113221123), we get a palindrome (341235532143).

The spelling of 321122311020 in words is "three hundred twenty-one billion, one hundred twenty-two million, three hundred eleven thousand, twenty".