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221221012122 = 232114127250679
BaseRepresentation
bin1100111000000111001…
…1001100001010011010
3210011000021100210111100
43032001303030022122
512111030034341442
6245343314012230
721661030402005
oct3160163141232
9704007323440
10221221012122
1185901548750
1236a5a577076
1317b26967296
14a9c860653c
155b4b4cb84c
hex3381ccc29a

221221012122 has 48 divisors (see below), whose sum is σ = 535639366080. Its totient is φ = 65401627200.

The previous prime is 221221012063. The next prime is 221221012169. The reversal of 221221012122 is 221210122122.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 221221012095 and 221221012104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13617222 + ... + 13633457.

It is an arithmetic number, because the mean of its divisors is an integer number (11159153460).

Almost surely, 2221221012122 is an apocalyptic number.

221221012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221221012122 is an abundant number, since it is smaller than the sum of its proper divisors (314418353958).

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

221221012122 is a wasteful number, since it uses less digits than its factorization.

221221012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27250739 (or 27250736 counting only the distinct ones).

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

Adding to 221221012122 its reverse (221210122122), we get a palindrome (442431134244).

Subtracting from 221221012122 its reverse (221210122122), we obtain a square (10890000 = 33002).

The spelling of 221221012122 in words is "two hundred twenty-one billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 27250679 54501358 81752037 163504074 245256111 299757469 490512222 599514938 899272407 1117277839 1798544814 2234555678 2697817221 3351833517 5395634442 6703667034 10055500551 12290056229 20111001102 24580112458 36870168687 73740337374 110610506061 221221012122