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21222211222212 = 223711133767370951
BaseRepresentation
bin1001101001101001011100…
…10111000111101011000100
32210010211020101111121111220
410310310232113013223010
510240201042033102322
6113045203234200340
74320153115010550
oct464645627075304
983124211447456
1021222211222212
11684231aa78120
12246900b7230b0
13bac327406980
145352365ca860
1526c0899c455c
hex134d2e5c7ac4

21222211222212 has 384 divisors, whose sum is σ = 68385721786368. Its totient is φ = 4943296512000.

The previous prime is 21222211222171. The next prime is 21222211222253.

It is a happy number.

21222211222212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21222211222171) and next prime (21222211222253).

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

It is an unprimeable number.

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, 299075337 + ... + 299146287.

It is an arithmetic number, because the mean of its divisors is an integer number (178087817152).

Almost surely, 221222211222212 is an apocalyptic number.

21222211222212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222211222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34192860893184).

21222211222212 is an abundant number, since it is smaller than the sum of its proper divisors (47163510564156).

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

21222211222212 is a wasteful number, since it uses less digits than its factorization.

21222211222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71699 (or 71697 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 2122221 and 1222212, that added together give a palindrome (3344433).

The spelling of 21222211222212 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two hundred twelve".