Search a number
-
+
12201012112101 = 321402119002827
BaseRepresentation
bin1011000110001100010011…
…1111100010101011100101
31121012101221111211102002020
42301203010333202223211
53044400133100041401
641541022333133353
72366331311534451
oct261430477425345
947171844742066
1012201012112101
11398446929188a
12145077a32a259
136a67205c9c57
14302764281661
1516259a169d36
hexb18c4fe2ae5

12201012112101 has 8 divisors (see below), whose sum is σ = 16268093016864. Its totient is φ = 8133969641040.

The previous prime is 12201012112087. The next prime is 12201012112117. The reversal of 12201012112101 is 10121121010221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12201012112101 - 237 = 12063573158629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201012112301) by changing a digit.

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, 8859351 + ... + 10143476.

It is an arithmetic number, because the mean of its divisors is an integer number (2033511627108).

Almost surely, 212201012112101 is an apocalyptic number.

It is an amenable number.

12201012112101 is a deficient number, since it is larger than the sum of its proper divisors (4067080904763).

12201012112101 is a wasteful number, since it uses less digits than its factorization.

12201012112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216851.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12201012112101 its reverse (10121121010221), we get a palindrome (22322133122322).

The spelling of 12201012112101 in words is "twelve trillion, two hundred one billion, twelve million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 214021 642063 19002827 57008481 4067004037367 12201012112101