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122122212221212 = 22719757391977377
BaseRepresentation
bin11011110001000111001011…
…000101000010000100011100
3121000101202202221110222101221
4123301013023011002010130
5112001322242312034322
61111422100401543124
734503016156344160
oct3361071305020434
9530352687428357
10122122212221212
1135a03815096705
1211844129944aa4
13531b0c9298628
142222a649a4ca0
15e1ba2b91b9c7
hex6f11cb14211c

122122212221212 has 96 divisors (see below), whose sum is σ = 257508041369600. Its totient is φ = 49504679497728.

The previous prime is 122122212221203. The next prime is 122122212221213. The reversal of 122122212221212 is 212122212221221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122212221213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1578236668 + ... + 1578314044.

Almost surely, 2122122212221212 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 122122212221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128754020684800).

122122212221212 is an abundant number, since it is smaller than the sum of its proper divisors (135385829148388).

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

122122212221212 is a wasteful number, since it uses less digits than its factorization.

122122212221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82083 (or 82081 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

Adding to 122122212221212 its reverse (212122212221221), we get a palindrome (334244424442433).

Subtracting 122122212221212 from its reverse (212122212221221), we obtain a palindrome (90000000000009).

The spelling of 122122212221212 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 757 1514 3028 3919 5299 7838 10598 14383 15676 21196 27433 28766 54866 57532 74461 77377 100681 109732 148922 154754 201362 297844 309508 402724 521227 541639 1042454 1083278 1470163 2084908 2166556 2940326 2966683 5880652 5933366 10291141 11866732 20582282 20766781 41164564 41533562 56366977 58574389 83067124 112733954 117148778 225467908 234297556 303240463 394568839 410020723 606480926 789137678 820041446 1112913391 1212961852 1578275356 1640082892 2122683241 2225826782 4245366482 4451653564 5761568797 7790393737 8490732964 11523137594 15580787474 23046275188 31161574948 40330981579 80661963158 161323926316 229553030491 459106060982 918212121964 1606871213437 3213742426874 4361507579329 6427484853748 8723015158658 17446030317316 30530553055303 61061106110606 122122212221212