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221112212120 = 235231132126897
BaseRepresentation
bin1100110111101101010…
…0001001101010011000
3210010201200122011221122
43031323110021222120
512110314211241440
6245324430024412
721655236535562
oct3157324115230
9703650564848
10221112212120
1185856096698
1236a2a048108
1317b0a262197
14a9b7da4332
155b41b897b5
hex337b509a98

221112212120 has 64 divisors (see below), whose sum is σ = 523727363520. Its totient is φ = 83850747904.

The previous prime is 221112212117. The next prime is 221112212129. The reversal of 221112212120 is 21212211122.

221112212120 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 2×2211122121202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112212129) 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 15 ways as a sum of consecutive naturals, for example, 959489 + ... + 1167408.

It is an arithmetic number, because the mean of its divisors is an integer number (8183240055).

Almost surely, 2221112212120 is an apocalyptic number.

221112212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112212120 is an abundant number, since it is smaller than the sum of its proper divisors (302615151400).

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

221112212120 is a wasteful number, since it uses less digits than its factorization.

221112212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127044 (or 2127040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221112212120 its reverse (21212211122), we get a palindrome (242324423242).

The spelling of 221112212120 in words is "two hundred twenty-one billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 113 115 184 226 230 452 460 565 904 920 1130 2260 2599 4520 5198 10396 12995 20792 25990 51980 103960 2126897 4253794 8507588 10634485 17015176 21268970 42537940 48918631 85075880 97837262 195674524 240339361 244593155 391349048 480678722 489186310 961357444 978372620 1201696805 1922714888 1956745240 2403393610 4806787220 5527805303 9613574440 11055610606 22111221212 27639026515 44222442424 55278053030 110556106060 221112212120