Search a number
-
+
12011012112109 = 3591193144719381
BaseRepresentation
bin1010111011001000100000…
…0111000011111011101101
31120112020112002022100201111
42232302020013003323231
53033242023100041414
641313441025512021
72346524035302433
oct256621007037355
946466462270644
1012011012112109
1139109292356aa
12141b9937a2611
13691830c9825a
142d749c322d53
1515c679aa38c4
hexaec881c3eed

12011012112109 has 16 divisors (see below), whose sum is σ = 12063518058240. Its totient is φ = 11958627761280.

The previous prime is 12011012112107. The next prime is 12011012112133. The reversal of 12011012112109 is 90121121011021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12011012112109 - 21 = 12011012112107 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12011012112109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011012112103) 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 15 ways as a sum of consecutive naturals, for example, 619721599 + ... + 619740979.

It is an arithmetic number, because the mean of its divisors is an integer number (753969878640).

Almost surely, 212011012112109 is an apocalyptic number.

It is an amenable number.

12011012112109 is a deficient number, since it is larger than the sum of its proper divisors (52505946131).

12011012112109 is a wasteful number, since it uses less digits than its factorization.

12011012112109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22380.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 12011012112109 in words is "twelve trillion, eleven billion, twelve million, one hundred twelve thousand, one hundred nine".

Divisors: 1 359 1193 1447 19381 428287 519473 1726271 6957779 23121533 28044307 619731289 8300630347 10067906213 33456858251 12011012112109