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12122021112 = 2332938944773
BaseRepresentation
bin10110100101000011…
…10101110011111000
31011021210201110211220
423102201311303320
5144311214133422
65322504552040
7606252323265
oct132241656370
934253643756
1012122021112
115160623973
122423782620
1311b2518676
1482dd0226c
154ae324e5c
hex2d2875cf8

12122021112 has 64 divisors (see below), whose sum is σ = 31431348000. Its totient is φ = 3891224064.

The previous prime is 12122021069. The next prime is 12122021113. The reversal of 12122021112 is 21112022121.

It is a junction number, because it is equal to n+sod(n) for n = 12122021091 and 12122021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122021113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248358 + ... + 293130.

Almost surely, 212122021112 is an apocalyptic number.

12122021112 is a gapful number since it is divisible by the number (12) 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 12122021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715674000).

12122021112 is an abundant number, since it is smaller than the sum of its proper divisors (19309326888).

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

12122021112 is a wasteful number, since it uses less digits than its factorization.

12122021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45200 (or 45196 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122021112 its reverse (21112022121), we get a palindrome (33234043233).

The spelling of 12122021112 in words is "twelve billion, one hundred twenty-two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 389 696 778 1167 1556 2334 3112 4668 9336 11281 22562 33843 44773 45124 67686 89546 90248 134319 135372 179092 268638 270744 358184 537276 1074552 1298417 2596834 3895251 5193668 7790502 10387336 15581004 17416697 31162008 34833394 52250091 69666788 104500182 139333576 209000364 418000728 505084213 1010168426 1515252639 2020336852 3030505278 4040673704 6061010556 12122021112