122000013 has 40 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 77807520.

The previous prime is 122000003. The next prime is 122000029. The reversal of 122000013 is 310000221.

It is a happy number.

It is not a de Polignac number, because 122000013 - 2¹² = 121995917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121999959 and 122000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 392128 + ... + 392438.

It is an arithmetic number, because the mean of its divisors is an integer number (4756752).

Almost surely, 2^122000013 is an apocalyptic number.

It is an amenable number.

122000013 is a deficient number, since it is larger than the sum of its proper divisors (68270067).

122000013 is a wasteful number, since it uses less digits than its factorization.

122000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122000013 is about 11045.3616056696. The cubic root of 122000013 is about 495.9675840006.

Adding to 122000013 its reverse (310000221), we get a palindrome (432000234).

The spelling of 122000013 in words is "one hundred twenty-two million, thirteen", and thus it is an aban number.