Search a number
-
+
12021101220112 = 2429140893183881
BaseRepresentation
bin1010111011101110000101…
…1101111101000100010000
31120120012120012202011001021
42232323201131331010100
53033423203403020422
641322230114245224
72350332044303455
oct256734135750420
946505505664037
1012021101220112
113915136281896
12142192a586814
1369277b28464a
142d7b7823d82c
1515ca6a6b3dc7
hexaeee177d110

12021101220112 has 40 divisors (see below), whose sum is σ = 24094319572440. Its totient is φ = 5803217495040.

The previous prime is 12021101220097. The next prime is 12021101220131. The reversal of 12021101220112 is 21102210112021.

It can be written as a sum of positive squares in 4 ways, for example, as 2059351281936 + 9961749938176 = 1435044^2 + 3156224^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 65282412 + ... + 65466292.

It is an arithmetic number, because the mean of its divisors is an integer number (602357989311).

Almost surely, 212021101220112 is an apocalyptic number.

It is an amenable number.

12021101220112 is an abundant number, since it is smaller than the sum of its proper divisors (12073218352328).

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

12021101220112 is a wasteful number, since it uses less digits than its factorization.

12021101220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324811 (or 324805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12021101220112 its reverse (21102210112021), we get a palindrome (33123311332133).

The spelling of 12021101220112 in words is "twelve trillion, twenty-one billion, one hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 140893 183881 281786 367762 563572 735524 1127144 1471048 2254288 2942096 4085897 5332549 8171794 10665098 16343588 21330196 32687176 42660392 65374352 85320784 25907545733 51815091466 103630182932 207260365864 414520731728 751318826257 1502637652514 3005275305028 6010550610056 12021101220112