Search a number
-
+
12000021202111 = 196127154377027
BaseRepresentation
bin1010111010011111100100…
…0000000100010010111111
31120111012011002222021121211
42232213321000010102333
53033102020411431421
641304422244305251
72345654466146155
oct256477100042277
946435132867554
1012000021202111
1139071a9146308
1214198269a2227
1369079bc04207
142d6b3873b3d5
1515c234c0c9e1
hexae9f90044bf

12000021202111 has 32 divisors (see below), whose sum is σ = 12890256081920. Its totient is φ = 11137176777600.

The previous prime is 12000021202069. The next prime is 12000021202129. The reversal of 12000021202111 is 11120212000021.

12000021202111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12000021202111 - 217 = 12000021071039 is a prime.

It is a super-2 number, since 2×120000212021112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000021202091 and 12000021202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000021202171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707698380 + ... + 1707705406.

It is an arithmetic number, because the mean of its divisors is an integer number (402820502560).

Almost surely, 212000021202111 is an apocalyptic number.

12000021202111 is a deficient number, since it is larger than the sum of its proper divisors (890234879809).

12000021202111 is a wasteful number, since it uses less digits than its factorization.

12000021202111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12815.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12000021202111 its reverse (11120212000021), we get a palindrome (23120233202132).

The spelling of 12000021202111 in words is "twelve trillion, twenty-one million, two hundred two thousand, one hundred eleven".

Divisors: 1 19 61 271 1159 5149 5437 7027 16531 103303 133513 314089 331657 428647 1473427 1904317 6301483 8144293 27995113 36182023 38205799 89879047 116163337 725910181 1707701893 2207103403 2330553739 10353771529 44280521041 196721659051 631580063269 12000021202111