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22012212102012 = 22321179703625243
BaseRepresentation
bin1010000000101000111100…
…00101010100001101111100
32212221100100220112102020100
411000110132011110031330
510341122002244231022
6114452134242521100
74431221064463626
oct500243605241574
985840326472210
1022012212102012
117017365968910
122576145366190
13c38986913472
1456157a97bc16
152828c502e1ac
hex14051e15437c

22012212102012 has 72 divisors (see below), whose sum is σ = 61468701315840. Its totient is φ = 6585932265120.

The previous prime is 22012212102011. The next prime is 22012212102019. The reversal of 22012212102012 is 21020121221022.

It is a happy number.

22012212102012 is a `hidden beast` number, since 2 + 201 + 221 + 210 + 20 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012212102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351781338 + ... + 351843905.

It is an arithmetic number, because the mean of its divisors is an integer number (853731962720).

Almost surely, 222012212102012 is an apocalyptic number.

22012212102012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22012212102012 is an abundant number, since it is smaller than the sum of its proper divisors (39456489213828).

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

22012212102012 is a wasteful number, since it uses less digits than its factorization.

22012212102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703625343 (or 703625338 counting only the distinct ones).

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

Adding to 22012212102012 its reverse (21020121221022), we get a palindrome (43032333323034).

The spelling of 22012212102012 in words is "twenty-two trillion, twelve billion, two hundred twelve million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 474 711 869 948 1422 1738 2607 2844 3476 5214 7821 10428 15642 31284 703625243 1407250486 2110875729 2814500972 4221751458 6332627187 7739877673 8443502916 12665254374 15479755346 23219633019 25330508748 30959510692 46439266038 55586394197 69658899057 92878532076 111172788394 139317798114 166759182591 222345576788 278635596228 333518365182 500277547773 611450336167 667036730364 1000555095546 1222900672334 1834351008501 2001110191092 2445801344668 3668702017002 5503053025503 7337404034004 11006106051006 22012212102012