122123000321221 has 8 divisors (see below), whose sum is σ = 123229832332824. Its totient is φ = 121016626160640.

The previous prime is 122123000321177. The next prime is 122123000321227.

122123000321221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3834210436996 + 118288789884225 = 1958114^2 + 10876065^2 .

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 122123000321221 - 2³¹ = 122120852837573 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122123000321192 and 122123000321201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123000321227) 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, 113926866 + ... + 114993811.

It is an arithmetic number, because the mean of its divisors is an integer number (15403729041603).

Almost surely, 2^{122123000321221} is an apocalyptic number.

It is an amenable number.

122123000321221 is a deficient number, since it is larger than the sum of its proper divisors (1106832011603).

122123000321221 is a wasteful number, since it uses less digits than its factorization.

122123000321221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228925511.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 122123000 and 321221, that added together give a palindrome (122444221).

The spelling of 122123000321221 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred twenty-one thousand, two hundred twenty-one".