2414121343212 has 96 divisors (see below), whose sum is σ = 5982306853824. Its totient is φ = 755087155200.

The previous prime is 2414121343181. The next prime is 2414121343243. The reversal of 2414121343212 is 2123431214142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2414121343181) and next prime (2414121343243).

It is a super-2 number, since 2×2414121343212² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2414121343212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147798198 + ... + 147814530.

It is an arithmetic number, because the mean of its divisors is an integer number (62315696394).

Almost surely, 2^{2414121343212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414121343212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991153426912).

2414121343212 is an abundant number, since it is smaller than the sum of its proper divisors (3568185510612).

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

2414121343212 is a wasteful number, since it uses less digits than its factorization.

2414121343212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18499 (or 18497 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 2414121343212 its reverse (2123431214142), we get a palindrome (4537552557354).

The spelling of 2414121343212 in words is "two trillion, four hundred fourteen billion, one hundred twenty-one million, three hundred forty-three thousand, two hundred twelve".