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21212222112 = 2533103238361
BaseRepresentation
bin10011110000010110…
…001101001010100000
32000202022112112101000
4103300112031022200
5321420312101422
613424511312000
71350441625104
oct236026151240
960668475330
1021212222112
118aa5823484
12413bb1b600
13200088b223
1410532b7904
158423bccac
hex4f058d2a0

21212222112 has 96 divisors (see below), whose sum is σ = 62469912960. Its totient is φ = 7002063360.

The previous prime is 21212222093. The next prime is 21212222123. The reversal of 21212222112 is 21122221212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30189 + ... + 208172.

It is an arithmetic number, because the mean of its divisors is an integer number (650728260).

Almost surely, 221212222112 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 21212222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31234956480).

21212222112 is an abundant number, since it is smaller than the sum of its proper divisors (41257690848).

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

21212222112 is a wasteful number, since it uses less digits than its factorization.

21212222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238483 (or 238469 counting only the distinct ones).

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

Adding to 21212222112 its reverse (21122221212), we get a palindrome (42334443324).

The spelling of 21212222112 in words is "twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 103 108 144 206 216 288 309 412 432 618 824 864 927 1236 1648 1854 2472 2781 3296 3708 4944 5562 7416 9888 11124 14832 22248 29664 44496 88992 238361 476722 715083 953444 1430166 1906888 2145249 2860332 3813776 4290498 5720664 6435747 7627552 8580996 11441328 12871494 17161992 22882656 24551183 25742988 34323984 49102366 51485976 68647968 73653549 98204732 102971952 147307098 196409464 205943904 220960647 294614196 392818928 441921294 589228392 662881941 785637856 883842588 1178456784 1325763882 1767685176 2356913568 2651527764 3535370352 5303055528 7070740704 10606111056 21212222112