Search a number
-
+
12211020011201 = 1110511774959509
BaseRepresentation
bin1011000110110001100110…
…0000101001011011000001
31121020100202222110100201212
42301230121200221123001
53100031132110324301
641545355401135505
72400134313346034
oct261543140513301
947210688410655
1012211020011201
113988734501580
1214526b1a8a595
136a7656b2193b
1430303349d01b
15162983a884bb
hexb1b198296c1

12211020011201 has 16 divisors (see below), whose sum is σ = 13334762760000. Its totient is φ = 11089553832000.

The previous prime is 12211020011189. The next prime is 12211020011207. The reversal of 12211020011201 is 10211002011221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211020011201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12211020011207) 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, 205166435 + ... + 205225943.

It is an arithmetic number, because the mean of its divisors is an integer number (833422672500).

Almost surely, 212211020011201 is an apocalyptic number.

12211020011201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211020011201 is a deficient number, since it is larger than the sum of its proper divisors (1123742748799).

12211020011201 is a wasteful number, since it uses less digits than its factorization.

12211020011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78320.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211020011201 its reverse (10211002011221), we get a palindrome (22422022022422).

The spelling of 12211020011201 in words is "twelve trillion, two hundred eleven billion, twenty million, eleven thousand, two hundred one".

Divisors: 1 11 1051 11561 17749 59509 195239 654599 18654199 62543959 205196189 687983549 1056225241 11618477651 1110092728291 12211020011201