Search a number
-
+
11121220012122 = 2331118722592613
BaseRepresentation
bin1010000111010101110001…
…0111100100100001011010
31110101011210221111022211000
42201311130113210201122
52424202224310341442
635353003513045430
72225324125243353
oct241653427444132
943334727438730
1011121220012122
1135a8534849210
1212b744a0b6876
1362895a2bb68c
142a63ac93ad2a
1514444d7eed4c
hexa1d5c5e485a

11121220012122 has 32 divisors (see below), whose sum is σ = 26960533364160. Its totient is φ = 3370066670160.

The previous prime is 11121220012099. The next prime is 11121220012157. The reversal of 11121220012122 is 22121002212111.

11121220012122 is a `hidden beast` number, since 111 + 212 + 200 + 121 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11121220012095 and 11121220012104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9361295713 + ... + 9361296900.

It is an arithmetic number, because the mean of its divisors is an integer number (842516667630).

Almost surely, 211121220012122 is an apocalyptic number.

11121220012122 is an abundant number, since it is smaller than the sum of its proper divisors (15839313352038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121220012122 is a wasteful number, since it uses less digits than its factorization.

11121220012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18722592635 (or 18722592629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11121220012122 its reverse (22121002212111), we get a palindrome (33242222224233).

The spelling of 11121220012122 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 18722592613 37445185226 56167777839 112335555678 168503333517 205948518743 337006667034 411897037486 505510000551 617845556229 1011020001102 1235691112458 1853536668687 3707073337374 5560610006061 11121220012122