Search a number
-
+
12122110021212 = 2232536353307139
BaseRepresentation
bin1011000001100110011000…
…0011111100111001011100
31120220212021200121220020200
42300121212003330321130
53042102040131134322
641440453115343500
72360536121040162
oct260314603747134
946825250556220
1012122110021212
113953a5a0a2104
12143941a151b90
1369c157a931c9
142dc9db25d232
151604cd26c8ac
hexb06660fce5c

12122110021212 has 36 divisors (see below), whose sum is σ = 31220151285960. Its totient is φ = 3964463654112.

The previous prime is 12122110021129. The next prime is 12122110021223. The reversal of 12122110021212 is 21212001122121.

12122110021212 is a `hidden beast` number, since 121 + 221 + 100 + 212 + 12 = 666.

12122110021212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3176651662 + ... + 3176655477.

It is an arithmetic number, because the mean of its divisors is an integer number (867226424610).

Almost surely, 212122110021212 is an apocalyptic number.

12122110021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122110021212 is an abundant number, since it is smaller than the sum of its proper divisors (19098041264748).

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

12122110021212 is a wasteful number, since it uses less digits than its factorization.

12122110021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353307202 (or 6353307197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122110021212 its reverse (21212001122121), we get a palindrome (33334111143333).

The spelling of 12122110021212 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 6353307139 12706614278 19059921417 25413228556 38119842834 57179764251 76239685668 114359528502 228719057004 336725278367 673450556734 1010175835101 1346901113468 2020351670202 3030527505303 4040703340404 6061055010606 12122110021212