Search a number
-
+
12011332133322 = 2331911706951397
BaseRepresentation
bin1010111011001001101100…
…1011110110000111001010
31120112021100101111010022000
42232302123023312013022
53033243202011231242
641313532501011430
72346535002400044
oct256623313660712
946467311433260
1012011332133322
113910a82944345
12141ba629b3b76
13691882386012
142d74cca28a94
1515c697c19a4c
hexaec9b2f61ca

12011332133322 has 32 divisors (see below), whose sum is σ = 28096683355200. Its totient is φ = 3793052252304.

The previous prime is 12011332133299. The next prime is 12011332133327. The reversal of 12011332133322 is 22333123311021.

12011332133322 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 3 + 321 + 3 + 332 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12011332133327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5853474673 + ... + 5853476724.

It is an arithmetic number, because the mean of its divisors is an integer number (878021354850).

Almost surely, 212011332133322 is an apocalyptic number.

12011332133322 is an abundant number, since it is smaller than the sum of its proper divisors (16085351221878).

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

12011332133322 is a wasteful number, since it uses less digits than its factorization.

12011332133322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11706951427 (or 11706951421 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12011332133322 its reverse (22333123311021), we get a palindrome (34344455444343).

The spelling of 12011332133322 in words is "twelve trillion, eleven billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 11706951397 23413902794 35120854191 70241708382 105362562573 210725125146 222432076543 316087687719 444864153086 632175375438 667296229629 1334592459258 2001888688887 4003777377774 6005666066661 12011332133322