Search a number
-
+
12011222211121 = 719431209535827
BaseRepresentation
bin1010111011001001010010…
…1000100001101000110001
31120112021001201122111101101
42232302110220201220301
53033242440341223441
641313513533004401
72346532166151130
oct256622450415061
946467051574341
1012011222211121
113910a26896151
12141ba32023701
1369186567a1b3
142d74bc1b3917
1515c68d255231
hexaec94a21a31

12011222211121 has 16 divisors (see below), whose sum is σ = 14483116431360. Its totient is φ = 9730843759440.

The previous prime is 12011222211103. The next prime is 12011222211199. The reversal of 12011222211121 is 12111222211021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12011222211121 - 219 = 12011221686833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011222211421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104710591 + ... + 104825236.

It is an arithmetic number, because the mean of its divisors is an integer number (905194776960).

Almost surely, 212011222211121 is an apocalyptic number.

It is an amenable number.

12011222211121 is a deficient number, since it is larger than the sum of its proper divisors (2471894220239).

12011222211121 is a wasteful number, since it uses less digits than its factorization.

12011222211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209536284.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12011222211121 its reverse (12111222211021), we get a palindrome (24122444422142).

The spelling of 12011222211121 in words is "twelve trillion, eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 19 133 431 3017 8189 57323 209535827 1466750789 3981180713 27868264991 90309941437 632169590059 1715888887303 12011222211121