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21000120122212 = 22711179602963179
BaseRepresentation
bin1001100011001011110001…
…01100110011101101100100
32202100120222110220202211121
410301211320230303231210
510223031221222402322
6112355153315143324
74265131360551310
oct461457054635544
982316873822747
1021000120122212
116767112378590
122431b698a4b44
13b943c2419cba
145285a8612b40
152663dbe28ec7
hex131978b33b64

21000120122212 has 96 divisors (see below), whose sum is σ = 46082784384000. Its totient is φ = 8134677978240.

The previous prime is 21000120122183. The next prime is 21000120122221. The reversal of 21000120122212 is 21222102100012.

It is a happy 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, 332359239 + ... + 332422417.

It is an arithmetic number, because the mean of its divisors is an integer number (480029004000).

Almost surely, 221000120122212 is an apocalyptic number.

21000120122212 is a gapful number since it is divisible by the number (22) 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 21000120122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23041392192000).

21000120122212 is an abundant number, since it is smaller than the sum of its proper divisors (25082664261788).

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

21000120122212 is a wasteful number, since it uses less digits than its factorization.

21000120122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69409 (or 69407 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21000120122212 its reverse (21222102100012), we get a palindrome (42222222222224).

The spelling of 21000120122212 in words is "twenty-one trillion, one hundred twenty million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 179 308 358 716 1253 1969 2506 3938 5012 6029 7876 12058 13783 24116 27566 42203 55132 63179 66319 84406 126358 132638 168812 252716 265276 442253 464233 694969 884506 928466 1079191 1389938 1769012 1856932 2158382 2779876 4316764 4864783 7554337 9729566 11309041 11871101 15108674 19459132 22618082 23742202 30217348 45236164 47484404 79163287 83097707 124399451 158326574 166195414 248798902 316653148 332390828 380906191 497597804 761812382 870796157 1523624764 1741592314 2666343337 3483184628 4189968101 5332686674 8379936202 10665373348 16759872404 29329776707 58659553414 68182208189 117319106828 136364416378 272728832756 477275457323 750004290079 954550914646 1500008580158 1909101829292 3000017160316 5250030030553 10500060061106 21000120122212