Search a number
-
+
12010122022101 = 371916133488227
BaseRepresentation
bin1010111011000101001100…
…0011101000110011010101
31120112011020001110002202220
42232301103003220303111
53033233212214201401
641313212432052553
72346463006540020
oct256612303506325
946464201402686
1012010122022101
113910511861925
12141b785694159
1369171b761488
142d74160261b7
1515c626883336
hexaec530e8cd5

12010122022101 has 32 divisors (see below), whose sum is σ = 18399993151488. Its totient is φ = 6825868176960.

The previous prime is 12010122022091. The next prime is 12010122022109. The reversal of 12010122022101 is 10122022101021.

12010122022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12010122022101 - 25 = 12010122022069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010122022109) 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, 24355350 + ... + 24843576.

It is an arithmetic number, because the mean of its divisors is an integer number (574999785984).

Almost surely, 212010122022101 is an apocalyptic number.

It is an amenable number.

12010122022101 is a deficient number, since it is larger than the sum of its proper divisors (6389871129387).

12010122022101 is a wasteful number, since it uses less digits than its factorization.

12010122022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494561.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12010122022101 its reverse (10122022101021), we get a palindrome (22132144123122).

The spelling of 12010122022101 in words is "twelve trillion, ten billion, one hundred twenty-two million, twenty-two thousand, one hundred one".

Divisors: 1 3 7 21 191 573 1337 4011 6133 18399 42931 128793 488227 1171403 1464681 3417589 3514209 8199821 10252767 24599463 93251357 279754071 652759499 1958278497 2994296191 8982888573 20960073337 62880220011 571910572481 1715731717443 4003374007367 12010122022101