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11221011122112 = 2632111770992917
BaseRepresentation
bin1010001101001001100001…
…1000011100011111000000
31110201201101120001221211200
42203102120120130133000
52432321112321401422
635510510014541200
72235456054550161
oct243223030343700
943651346057750
1011221011122112
11363689327a140
121312859b07800
136351a175055c
142ab157d43768
15146d3e5262ac
hexa349861c7c0

11221011122112 has 84 divisors (see below), whose sum is σ = 35086911691416. Its totient is φ = 3400306398720.

The previous prime is 11221011122093. The next prime is 11221011122131. The reversal of 11221011122112 is 21122111012211.

It is a happy number.

11221011122112 is a `hidden beast` number, since 112 + 210 + 111 + 221 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (11221011122093) and next prime (11221011122131).

It is a super-2 number, since 2×112210111221122 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 885490123 + ... + 885502794.

Almost surely, 211221011122112 is an apocalyptic number.

11221011122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11221011122112 is an abundant number, since it is smaller than the sum of its proper divisors (23865900569304).

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

11221011122112 is a wasteful number, since it uses less digits than its factorization.

11221011122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770992946 (or 1770992933 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11221011122112 its reverse (21122111012211), we get a palindrome (32343122134323).

The spelling of 11221011122112 in words is "eleven trillion, two hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 1770992917 3541985834 5312978751 7083971668 10625957502 14167943336 15938936253 19480922087 21251915004 28335886672 31877872506 38961844174 42503830008 56671773344 58442766261 63755745012 77923688348 85007660016 113343546688 116885532522 127511490024 155847376696 170015320032 175328298783 233771065044 255022980048 311694753392 340030640064 350656597566 467542130088 510045960096 623389506784 701313195132 935084260176 1020091920192 1246779013568 1402626390264 1870168520352 2805252780528 3740337040704 5610505561056 11221011122112