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12002132131011 = 32112111873306763
BaseRepresentation
bin1010111010100111011011…
…0100100111110011000011
31120111101121020001120200200
42232221312310213303003
53033120331311143021
641305411533020243
72346061010561631
oct256516664476303
946441536046620
1012002132131011
113908091769450
12141a115924683
13690a4734a679
142d6c98c30351
1515c30a1d3126
hexaea76d27cc3

12002132131011 has 48 divisors (see below), whose sum is σ = 19012290340992. Its totient is φ = 7235656646400.

The previous prime is 12002132131001. The next prime is 12002132131027. The reversal of 12002132131011 is 11013123120021.

12002132131011 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 21 + 321 + 310 + 11 = 666.

It is not a de Polignac number, because 12002132131011 - 211 = 12002132128963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002132131001) 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, 38971716 + ... + 39278478.

It is an arithmetic number, because the mean of its divisors is an integer number (396089382104).

Almost surely, 212002132131011 is an apocalyptic number.

12002132131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002132131011 is a deficient number, since it is larger than the sum of its proper divisors (7010158209981).

12002132131011 is a wasteful number, since it uses less digits than its factorization.

12002132131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308864 (or 308861 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12002132131011 its reverse (11013123120021), we get a palindrome (23015255251032).

The spelling of 12002132131011 in words is "twelve trillion, two billion, one hundred thirty-two million, one hundred thirty-one thousand, eleven".

Divisors: 1 3 9 11 33 99 211 633 1873 1899 2321 5619 6963 16857 20603 20889 61809 185427 306763 395203 920289 1185609 2760867 3374393 3556827 4347233 10123179 13041699 30369537 39125097 64726993 194180979 574567099 582542937 711996923 1723701297 2135990769 5171103891 6320238089 6407972307 18960714267 56882142801 121233657889 363700973667 1091102921001 1333570236779 4000710710337 12002132131011