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12222011112 = 2334127145833
BaseRepresentation
bin10110110000111110…
…10001011011101000
31011112202212111100020
423120133101123220
5200012313323422
65340440040440
7611605244313
oct133037213350
934482774306
1012222011112
115202008933
122451163120
1311ca15774c
1483d2cd97a
154b7ec695c
hex2d87d16e8

12222011112 has 64 divisors (see below), whose sum is σ = 31416456960. Its totient is φ = 3959884800.

The previous prime is 12222011107. The next prime is 12222011119. The reversal of 12222011112 is 21111022221.

It is a junction number, because it is equal to n+sod(n) for n = 12222011091 and 12222011100.

It is not an unprimeable number, because it can be changed into a prime (12222011119) 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, 243748 + ... + 289580.

It is an arithmetic number, because the mean of its divisors is an integer number (490882140).

Almost surely, 212222011112 is an apocalyptic number.

12222011112 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 12222011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708228480).

12222011112 is an abundant number, since it is smaller than the sum of its proper divisors (19194445848).

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

12222011112 is a wasteful number, since it uses less digits than its factorization.

12222011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46154 (or 46150 counting only the distinct ones).

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

Adding to 12222011112 its reverse (21111022221), we get a palindrome (33333033333).

The spelling of 12222011112 in words is "twelve billion, two hundred twenty-two million, eleven 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 45833 66666 88888 91666 133332 137499 183332 266664 274998 366664 549996 1099992 1879153 3758306 5637459 7516612 11274918 12420743 15033224 22549836 24841486 37262229 45099672 49682972 74524458 99365944 149048916 298097832 509250463 1018500926 1527751389 2037001852 3055502778 4074003704 6111005556 12222011112