122034420024 has 64 divisors (see below), whose sum is σ = 340561203840. Its totient is φ = 36120120960.

The previous prime is 122034420019. The next prime is 122034420061. The reversal of 122034420024 is 420024430221.

It is a super-3 number, since 3×122034420024³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122034419976 and 122034420003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5363667 + ... + 5386370.

It is an arithmetic number, because the mean of its divisors is an integer number (5321268810).

Almost surely, 2^122034420024 is an apocalyptic number.

It is an amenable number.

122034420024 is an abundant number, since it is smaller than the sum of its proper divisors (218526783816).

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

122034420024 is a wasteful number, since it uses less digits than its factorization.

122034420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750100 (or 10750096 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 122034420024 its reverse (420024430221), we get a palindrome (542058850245).

The spelling of 122034420024 in words is "one hundred twenty-two billion, thirty-four million, four hundred twenty thousand, twenty-four".