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12212221112112 = 24373741752983
BaseRepresentation
bin1011000110110110000100…
…0110011110111100110000
31121020110212200112121102210
42301231201012132330300
53100041112101041422
641550114505012120
72400206136501000
oct261554106367460
947213780477383
1012212221112112
1139891a049a45a
121452988184040
136a77b8910238
14303108bd8000
15162a0424010c
hexb1b6119ef30

12212221112112 has 80 divisors (see below), whose sum is σ = 36790948006400. Its totient is φ = 3489206027328.

The previous prime is 12212221112087. The next prime is 12212221112167. The reversal of 12212221112112 is 21121112221221.

12212221112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122122211121122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 370860028 + ... + 370892955.

It is an arithmetic number, because the mean of its divisors is an integer number (459886850080).

Almost surely, 212212221112112 is an apocalyptic number.

12212221112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12212221112112 is an abundant number, since it is smaller than the sum of its proper divisors (24578726894288).

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

12212221112112 is an equidigital number, since it uses as much as digits as its factorization.

12212221112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741753015 (or 741752995 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

Adding to 12212221112112 its reverse (21121112221221), we get a palindrome (33333333333333).

The spelling of 12212221112112 in words is "twelve trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 16464 741752983 1483505966 2225258949 2967011932 4450517898 5192270881 5934023864 8901035796 10384541762 11868047728 15576812643 17802071592 20769083524 31153625286 35604143184 36345896167 41538167048 62307250572 72691792334 83076334096 109037688501 124614501144 145383584668 218075377002 249229002288 254421273169 290767169336 436150754004 508842546338 581534338672 763263819507 872301508008 1017685092676 1526527639014 1744603016016 2035370185352 3053055278028 4070740370704 6106110556056 12212221112112