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12022013112 = 2334127145083
BaseRepresentation
bin10110011001001000…
…10101110010111000
31011000211112112122220
423030210111302320
5144110113404422
65304533244040
7603626265624
oct131444256270
934024475586
1012022013112
11510a12742a
1223b6193620
1311978a1335
1482090c184
154a566ce5c
hex2cc915cb8

12022013112 has 64 divisors (see below), whose sum is σ = 30902376960. Its totient is φ = 3895084800.

The previous prime is 12022013093. The next prime is 12022013123. The reversal of 12022013112 is 21131022021.

It is a junction number, because it is equal to n+sod(n) for n = 12022013091 and 12022013100.

It is a congruent number.

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, 244123 + ... + 289205.

It is an arithmetic number, because the mean of its divisors is an integer number (482849640).

Almost surely, 212022013112 is an apocalyptic number.

12022013112 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 12022013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451188480).

12022013112 is an abundant number, since it is smaller than the sum of its proper divisors (18880363848).

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

12022013112 is a wasteful number, since it uses less digits than its factorization.

12022013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45404 (or 45400 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12022013112 its reverse (21131022021), we get a palindrome (33153035133).

The spelling of 12022013112 in words is "twelve billion, twenty-two million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 328 492 542 813 984 1084 1626 2168 3252 6504 11111 22222 33333 44444 45083 66666 88888 90166 133332 135249 180332 266664 270498 360664 540996 1081992 1848403 3696806 5545209 7393612 11090418 12217493 14787224 22180836 24434986 36652479 44361672 48869972 73304958 97739944 146609916 293219832 500917213 1001834426 1502751639 2003668852 3005503278 4007337704 6011006556 12022013112