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12222022100112 = 24321140931885151
BaseRepresentation
bin1011000111011010100101…
…0010010010010010010000
31121021102011201211101102100
42301312221102102102100
53100221200124200422
641554415222120400
72401004046512016
oct261665122222220
947242151741370
1012222022100112
11399236a936840
121454862580100
136a86bb2cb016
143037987548b6
15162dc98db7ac
hexb1da9492490

12222022100112 has 120 divisors (see below), whose sum is σ = 37323340224768. Its totient is φ = 3702736224000.

The previous prime is 12222022100107. The next prime is 12222022100149. The reversal of 12222022100112 is 21100122022221.

It is a happy number.

12222022100112 is a `hidden beast` number, since 122 + 220 + 2 + 210 + 0 + 112 = 666.

It is a super-2 number, since 2×122220221001122 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5540737 + ... + 7425887.

Almost surely, 212222022100112 is an apocalyptic number.

12222022100112 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 12222022100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661670112384).

12222022100112 is an abundant number, since it is smaller than the sum of its proper divisors (25101318124656).

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

12222022100112 is a wasteful number, since it uses less digits than its factorization.

12222022100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889269 (or 1889260 counting only the distinct ones).

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

Adding to 12222022100112 its reverse (21100122022221), we get a palindrome (33322144122333).

The spelling of 12222022100112 in words is "twelve trillion, two hundred twenty-two billion, twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 4093 8186 12279 16372 24558 32744 36837 45023 49116 65488 73674 90046 98232 135069 147348 180092 196464 270138 294696 360184 405207 540276 589392 720368 810414 1080552 1620828 1885151 2161104 3241656 3770302 5655453 6483312 7540604 11310906 15081208 16966359 20736661 22621812 30162416 33932718 41473322 45243624 62209983 67865436 82946644 90487248 124419966 135730872 165893288 186629949 248839932 271461744 331786576 373259898 497679864 746519796 995359728 1493039592 2986079184 7715923043 15431846086 23147769129 30863692172 46295538258 61727384344 69443307387 84875153473 92591076516 123454768688 138886614774 169750306946 185182153032 254625460419 277773229548 339500613892 370364306064 509250920838 555546459096 679001227784 763876381257 1018501841676 1111092918192 1358002455568 1527752762514 2037003683352 3055505525028 4074007366704 6111011050056 12222022100112