122332004000213 has 16 divisors (see below), whose sum is σ = 147178488059520. Its totient is φ = 99329053372416.

The previous prime is 122332004000159. The next prime is 122332004000249. The reversal of 122332004000213 is 312000400233221.

It is not a de Polignac number, because 122332004000213 - 2¹⁴ = 122332003983829 is a prime.

It is a super-3 number, since 3×122332004000213³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122332004000263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36408356 + ... + 39626157.

It is an arithmetic number, because the mean of its divisors is an integer number (9198655503720).

Almost surely, 2^{122332004000213} is an apocalyptic number.

It is an amenable number.

122332004000213 is a deficient number, since it is larger than the sum of its proper divisors (24846484059307).

122332004000213 is a wasteful number, since it uses less digits than its factorization.

122332004000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76046636.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 122332004000213 its reverse (312000400233221), we get a palindrome (434332404233434).

The spelling of 122332004000213 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, four million, two hundred thirteen", and thus it is an aban number.