122034000430221 has 12 divisors (see below), whose sum is σ = 178848727903776. Its totient is φ = 73960000260520.

The previous prime is 122034000430207. The next prime is 122034000430297.

It is a happy number.

122034000430221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122034000430221 - 2⁹ = 122034000429709 is a prime.

It is a super-2 number, since 2×122034000430221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122034000430191 and 122034000430200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122034000430721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168090909321 + ... + 168090910046.

It is an arithmetic number, because the mean of its divisors is an integer number (14904060658648).

Almost surely, 2^{122034000430221} is an apocalyptic number.

122034000430221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122034000430221 is a deficient number, since it is larger than the sum of its proper divisors (56814727473555).

122034000430221 is a wasteful number, since it uses less digits than its factorization.

122034000430221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336181819392 (or 336181819381 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 122034000 and 430221, that added together give a palindrome (122464221).

The spelling of 122034000430221 in words is "one hundred twenty-two trillion, thirty-four billion, four hundred thirty thousand, two hundred twenty-one".