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12220010211222 = 23311413593893593
BaseRepresentation
bin1011000111010011000101…
…0111100010011110010110
31121021012222112002211201000
42301310301113202132112
53100203040103224342
641553443432244130
72400603146652522
oct261646127423626
947235875084630
1012220010211222
113991528209950
1214543a0840646
136a845a550418
14303647482d82
15162d0ce7b44c
hexb1d315e2796

12220010211222 has 256 divisors, whose sum is σ = 30518062848000. Its totient is φ = 3592390809600.

The previous prime is 12220010211221. The next prime is 12220010211271. The reversal of 12220010211222 is 22211201002221.

It is a happy number.

12220010211222 is a `hidden beast` number, since 1 + 2 + 220 + 0 + 10 + 211 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12220010211195 and 12220010211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220010211221) 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 127 ways as a sum of consecutive naturals, for example, 3401058658 + ... + 3401062250.

It is an arithmetic number, because the mean of its divisors is an integer number (119211183000).

Almost surely, 212220010211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220010211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15259031424000).

12220010211222 is an abundant number, since it is smaller than the sum of its proper divisors (18298052636778).

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

12220010211222 is a wasteful number, since it uses less digits than its factorization.

12220010211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220010211222 its reverse (22211201002221), we get a palindrome (34431211213443).

The spelling of 12220010211222 in words is "twelve trillion, two hundred twenty billion, ten million, two hundred eleven thousand, two hundred twenty-two".