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110121112212 = 223233727533917
BaseRepresentation
bin110011010001110111…
…0101101001010010100
3101112020112022010002120
41212203232231022110
53301012001042322
6122331113335540
710645622003166
oct1464356551224
9345215263076
10110121112212
114277a551551
12194134075b0
13a4cc623137
14548930c936
152ce7a6ca5c
hex19a3bad294

110121112212 has 96 divisors (see below), whose sum is σ = 275537832192. Its totient is φ = 34141003776.

The previous prime is 110121112207. The next prime is 110121112217. The reversal of 110121112212 is 212211121011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110121112207) and next prime (110121112217).

It is a junction number, because it is equal to n+sod(n) for n = 110121112191 and 110121112200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121112217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28111678 + ... + 28115594.

It is an arithmetic number, because the mean of its divisors is an integer number (2870185752).

Almost surely, 2110121112212 is an apocalyptic number.

110121112212 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 110121112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137768916096).

110121112212 is an abundant number, since it is smaller than the sum of its proper divisors (165416719980).

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

110121112212 is a wasteful number, since it uses less digits than its factorization.

110121112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110121112212 its reverse (212211121011), we get a palindrome (322332233223).

The spelling of 110121112212 in words is "one hundred ten billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 2753 3404 3917 5106 5506 7834 8259 10212 11012 11751 15668 16518 23502 33036 47004 63319 90091 101861 126638 144929 180182 189957 203722 253276 270273 289858 305583 360364 379914 407444 434787 540546 579716 611166 759828 869574 1081092 1222332 1739148 2342803 3333367 4685606 6666734 7028409 9371212 10000101 10783501 13333468 14056818 20000202 21567002 28113636 32350503 40000404 43134004 64701006 129402012 248020523 398989537 496041046 744061569 797979074 992082092 1196968611 1488123138 1595958148 2393937222 2976246276 4787874444 9176759351 18353518702 27530278053 36707037404 55060556106 110121112212