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12013000331211 = 3311401764913187
BaseRepresentation
bin1010111011001111111010…
…0111100000111111001011
31120112102122122111100121000
42232303332213200333023
53033310111041044321
641314410212150043
72346624230006535
oct256637647407713
946472578440530
1012013000331211
113911759566090
121420249608323
13691a89b79269
142d760a3d2855
1515c7443da826
hexaecfe9e0fcb

12013000331211 has 64 divisors (see below), whose sum is σ = 19467387072000. Its totient is φ = 7260950016000.

The previous prime is 12013000331191. The next prime is 12013000331243. The reversal of 12013000331211 is 11213300031021.

12013000331211 is a `hidden beast` number, since 1 + 20 + 1 + 300 + 0 + 331 + 2 + 11 = 666.

It is not a de Polignac number, because 12013000331211 - 26 = 12013000331147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12013000331611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 910966360 + ... + 910979546.

It is an arithmetic number, because the mean of its divisors is an integer number (304177923000).

Almost surely, 212013000331211 is an apocalyptic number.

12013000331211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12013000331211 is a deficient number, since it is larger than the sum of its proper divisors (7454386740789).

12013000331211 is a wasteful number, since it uses less digits than its factorization.

12013000331211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21257 (or 21251 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12013000331211 its reverse (11213300031021), we get a palindrome (23226300362232).

The spelling of 12013000331211 in words is "twelve trillion, thirteen billion, three hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 401 1203 3609 4411 7649 10827 13187 13233 22947 39561 39699 68841 84139 118683 119097 145057 206523 252417 356049 435171 757251 1305513 2271753 3067249 3916539 5287987 9201747 15863961 27605241 33739739 47591883 58167857 82815723 100867363 101219217 142775649 174503571 302602089 303657651 523510713 907806267 910972953 1109540993 1570532139 2723418801 3328622979 9985868937 29957606811 40447812563 121343437689 364030313067 444925938193 1092090939201 1334777814579 4004333443737 12013000331211