Search a number
-
+
126236066121 = 32114912596969
BaseRepresentation
bin111010110010001000…
…0011000000101001001
3110001211121102121000100
41311210100120011021
54032012413103441
6133554141000013
712056150600124
oct1654420300511
9401747377010
10126236066121
1149599a71980
1220570253009
13bb9a157519
1461776453bb
15343c6bdcb6
hex1d64418149

126236066121 has 24 divisors (see below), whose sum is σ = 199322641440. Its totient is φ = 76350859200.

The previous prime is 126236066111. The next prime is 126236066179. The reversal of 126236066121 is 121660632621.

126236066121 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 36 + 0 + 6 + 612 + 1 = 666.

It is not a de Polignac number, because 126236066121 - 26 = 126236066057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126236066111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249876 + ... + 1347093.

It is an arithmetic number, because the mean of its divisors is an integer number (8305110060).

Almost surely, 2126236066121 is an apocalyptic number.

126236066121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126236066121 is a deficient number, since it is larger than the sum of its proper divisors (73086575319).

126236066121 is a wasteful number, since it uses less digits than its factorization.

126236066121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597477 (or 2597474 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 126236066121 its reverse (121660632621), we get a palindrome (247896698742).

The spelling of 126236066121 in words is "one hundred twenty-six billion, two hundred thirty-six million, sixty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 491 1473 4419 5401 16203 48609 2596969 7790907 23372721 28566659 85699977 257099931 1275111779 3825335337 11476006011 14026229569 42078688707 126236066121