12212002100034 has 192 divisors, whose sum is σ = 30504431333376. Its totient is φ = 3496152240000.

The previous prime is 12212002100033. The next prime is 12212002100041. The reversal of 12212002100034 is 43000120021221.

It is a happy number.

12212002100034 is a `hidden beast` number, since 1 + 221 + 200 + 210 + 0 + 0 + 34 = 666.

It is a super-2 number, since 2×12212002100034² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12212002100033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565071889 + ... + 565093499.

It is an arithmetic number, because the mean of its divisors is an integer number (158877246528).

Almost surely, 2^{12212002100034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212002100034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252215666688).

12212002100034 is an abundant number, since it is smaller than the sum of its proper divisors (18292429233342).

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

12212002100034 is a wasteful number, since it uses less digits than its factorization.

12212002100034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23845 (or 23842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12212002100034 its reverse (43000120021221), we get a palindrome (55212122121255).

The spelling of 12212002100034 in words is "twelve trillion, two hundred twelve billion, two million, one hundred thousand, thirty-four".