820122111022120 has 32 divisors (see below), whose sum is σ = 1847013934390920. Its totient is φ = 327739656037120.

The previous prime is 820122111022111. The next prime is 820122111022141. The reversal of 820122111022120 is 21220111221028.

It can be written as a sum of positive squares in 4 ways, for example, as 769560084974916 + 50562026047204 = 27740946^2 + 7110698^2 .

It is a super-2 number, since 2×820122111022120² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9662093647 + ... + 9662178526.

Almost surely, 2^{820122111022120} is an apocalyptic number.

It is an amenable number.

820122111022120 is an abundant number, since it is smaller than the sum of its proper divisors (1026891823368800).

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

820122111022120 is a wasteful number, since it uses less digits than its factorization.

820122111022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19324273245 (or 19324273241 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 820122111022120 its reverse (21220111221028), we get a palindrome (841342222243148).

The spelling of 820122111022120 in words is "eight hundred twenty trillion, one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred twenty".