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12032011221102 = 2335918472044681
BaseRepresentation
bin1010111100010110101111…
…0000010011100001101110
31120121020201112211121212000
42233011223300103201232
53034113024333033402
641331232445353130
72351166311626515
oct257055360234156
946536645747760
1012032011221102
11391982472a034
121423a742687a6
136937c965a632
142d84d11a367c
1515cea83c6c1c
hexaf16bc1386e

12032011221102 has 64 divisors (see below), whose sum is σ = 27205720819200. Its totient is φ = 3940556368320.

The previous prime is 12032011221089. The next prime is 12032011221119. The reversal of 12032011221102 is 20112211023021.

12032011221102 is a `hidden beast` number, since 1 + 20 + 320 + 1 + 1 + 221 + 102 = 666.

It is a super-2 number, since 2×120320112211022 (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4862202 + ... + 6906882.

It is an arithmetic number, because the mean of its divisors is an integer number (425089387800).

Almost surely, 212032011221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032011221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602860409600).

12032011221102 is an abundant number, since it is smaller than the sum of its proper divisors (15173709598098).

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

12032011221102 is a wasteful number, since it uses less digits than its factorization.

12032011221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046598 (or 2046592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12032011221102 its reverse (20112211023021), we get a palindrome (32144222244123).

The spelling of 12032011221102 in words is "twelve trillion, thirty-two billion, eleven million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 1847 3186 3694 5541 11082 16623 33246 49869 99738 108973 217946 326919 653838 980757 1961514 2044681 2942271 4089362 5884542 6134043 12268086 18402129 36804258 55206387 110412774 120636179 241272358 361908537 723817074 1085725611 2171451222 3257176833 3776525807 6514353666 7553051614 11329577421 22659154842 33988732263 67977464526 101966196789 203932393578 222815022613 445630045226 668445067839 1336890135678 2005335203517 4010670407034 6016005610551 12032011221102