122012000100205 has 8 divisors (see below), whose sum is σ = 146631954953592. Its totient is φ = 97464563524608.

The previous prime is 122012000100203. The next prime is 122012000100233. The reversal of 122012000100205 is 502001000210221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12675636401796 + 109336363698409 = 3560286^2 + 10456403^2 .

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 122012000100205 - 2¹ = 122012000100203 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012000100203) 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, 18129565744 + ... + 18129572473.

It is an arithmetic number, because the mean of its divisors is an integer number (18328994369199).

Almost surely, 2^{122012000100205} is an apocalyptic number.

It is an amenable number.

122012000100205 is a deficient number, since it is larger than the sum of its proper divisors (24619954853387).

122012000100205 is an equidigital number, since it uses as much as digits as its factorization.

122012000100205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36259138895.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 122012000100205 its reverse (502001000210221), we get a palindrome (624013000310426).

The spelling of 122012000100205 in words is "one hundred twenty-two trillion, twelve billion, one hundred thousand, two hundred five".