122819819941 has 48 divisors (see below), whose sum is σ = 156411575040. Its totient is φ = 93909196800.

The previous prime is 122819819911. The next prime is 122819819963. The reversal of 122819819941 is 149918918221.

It is not a de Polignac number, because 122819819941 - 2¹³ = 122819811749 is a prime.

It is a super-2 number, since 2×122819819941² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122819819911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18808165 + ... + 18814693.

It is an arithmetic number, because the mean of its divisors is an integer number (3258574480).

Almost surely, 2^122819819941 is an apocalyptic number.

It is an amenable number.

122819819941 is a deficient number, since it is larger than the sum of its proper divisors (33591755099).

122819819941 is a wasteful number, since it uses less digits than its factorization.

122819819941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6737 counting only the distinct ones).

The product of its digits is 746496, while the sum is 55.

The spelling of 122819819941 in words is "one hundred twenty-two billion, eight hundred nineteen million, eight hundred nineteen thousand, nine hundred forty-one".