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112120222221 = 3374712621887
BaseRepresentation
bin110100001101011100…
…0101101001000001101
3101201101211222102111000
41220122320231020031
53314110234102341
6123301325250513
711046305110230
oct1503270551015
9351354872430
10112120222221
1143605a40487
1219890a03a39
13a75a848377
1455d8a15417
152db33068b6
hex1a1ae2d20d

112120222221 has 32 divisors (see below), whose sum is σ = 193872199680. Its totient is φ = 62705529648.

The previous prime is 112120222219. The next prime is 112120222261. The reversal of 112120222221 is 122222021211.

It is a happy number.

112120222221 is a `hidden beast` number, since 11 + 212 + 0 + 222 + 221 = 666.

It is not a de Polignac number, because 112120222221 - 21 = 112120222219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112120222194 and 112120222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120222261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6302061 + ... + 6319826.

It is an arithmetic number, because the mean of its divisors is an integer number (6058506240).

Almost surely, 2112120222221 is an apocalyptic number.

It is an amenable number.

112120222221 is a deficient number, since it is larger than the sum of its proper divisors (81751977459).

112120222221 is a wasteful number, since it uses less digits than its factorization.

112120222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621950 (or 12621944 counting only the distinct ones).

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

Adding to 112120222221 its reverse (122222021211), we get a palindrome (234342243432).

The spelling of 112120222221 in words is "one hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 8883 12621887 37865661 88353209 113596983 265059627 340790949 593228689 795178881 1779686067 2385536643 4152600823 5339058201 12457802469 16017174603 37373407407 112120222221