122112000013 has 8 divisors (see below), whose sum is σ = 122850800640. Its totient is φ = 121374235920.

The previous prime is 122111999987. The next prime is 122112000029. The reversal of 122112000013 is 310000211221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122112000013 - 2¹³ = 122111991821 is a prime.

It is a super-2 number, since 2×122112000013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122111999957 and 122112000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112000713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22153 + ... + 494686.

It is an arithmetic number, because the mean of its divisors is an integer number (15356350080).

Almost surely, 2^122112000013 is an apocalyptic number.

It is an amenable number.

122112000013 is a deficient number, since it is larger than the sum of its proper divisors (738800627).

122112000013 is a wasteful number, since it uses less digits than its factorization.

122112000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518267.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122112000013 its reverse (310000211221), we get a palindrome (432112211234).

The spelling of 122112000013 in words is "one hundred twenty-two billion, one hundred twelve million, thirteen", and thus it is an aban number.