412210121012214 has 128 divisors (see below), whose sum is σ = 971093090304000. Its totient is φ = 114218293857408.

The previous prime is 412210121012177. The next prime is 412210121012219.

412210121012214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412210121012219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236591347 + ... + 238327265.

It is an arithmetic number, because the mean of its divisors is an integer number (7586664768000).

Almost surely, 2^{412210121012214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412210121012214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485546545152000).

412210121012214 is an abundant number, since it is smaller than the sum of its proper divisors (558882969291786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412210121012214 is a wasteful number, since it uses less digits than its factorization.

412210121012214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737282.

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 412210121012214 in words is "four hundred twelve trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, two hundred fourteen".