Search a number
-
+
12040322304021 = 31121011753187339
BaseRepresentation
bin1010111100110101101100…
…1000100100100000010101
31120122001011202121101021220
42233031123020210200111
53034232040002212041
641335125301000553
72351612260646124
oct257153310444025
946561152541256
1012040322304021
1139222aa060700
1214255b36b3159
1369452247bc8b
142d8a7ccc7abb
1515d2e2d6ed66
hexaf35b224815

12040322304021 has 48 divisors (see below), whose sum is σ = 17830844351040. Its totient is φ = 7220755872000.

The previous prime is 12040322303897. The next prime is 12040322304041.

It is a happy number.

12040322304021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12040322304021 - 210 = 12040322302997 is a prime.

It is a super-2 number, since 2×120403223040212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12040322303982 and 12040322304000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040322304041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64176570 + ... + 64363908.

It is an arithmetic number, because the mean of its divisors is an integer number (371475923980).

Almost surely, 212040322304021 is an apocalyptic number.

12040322304021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12040322304021 is a deficient number, since it is larger than the sum of its proper divisors (5790522047019).

12040322304021 is a wasteful number, since it uses less digits than its factorization.

12040322304021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189218 (or 189207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1204032 and 2304021, that added together give a palindrome (3508053).

The spelling of 12040322304021 in words is "twelve trillion, forty billion, three hundred twenty-two million, three hundred four thousand, twenty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 1753 3333 5259 12221 19283 36663 57849 177053 187339 212113 531159 562017 636339 1947583 2060729 5842749 6182187 18921239 21423413 22668019 56763717 64270239 68004057 208133629 328405267 624400887 985215801 2289469919 3612457937 6868409757 10837373811 33168931967 39737037307 99506795901 119211111921 364858251637 1094574754911 4013440768007 12040322304021