Search a number
-
+
12122000331131 = 76146171345001
BaseRepresentation
bin1011000001100101111110…
…0001100001000101111011
31120220212000001020001202002
42300121133201201011323
53042101324041044011
641440434200331215
72360533316506055
oct260313741410573
946825001201662
1012122000331131
113953a03192349
1214393a9473b0b
1369c13b138c32
142dc9ca8688d5
151604c3801c3b
hexb065f86117b

12122000331131 has 8 divisors (see below), whose sum is σ = 12138227446128. Its totient is φ = 12105774000000.

The previous prime is 12122000331107. The next prime is 12122000331143. The reversal of 12122000331131 is 13113300022121.

It is a happy number.

12122000331131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12122000331131 - 230 = 12120926589307 is a prime.

It is a super-2 number, since 2×121220003311312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122000331191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34963631 + ... + 35308631.

It is an arithmetic number, because the mean of its divisors is an integer number (1517278430766).

Almost surely, 212122000331131 is an apocalyptic number.

12122000331131 is a deficient number, since it is larger than the sum of its proper divisors (16227114997).

12122000331131 is an equidigital number, since it uses as much as digits as its factorization.

12122000331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391933.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12122000331131 its reverse (13113300022121), we get a palindrome (25235300353252).

The spelling of 12122000331131 in words is "twelve trillion, one hundred twenty-two billion, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 761 46171 345001 35136131 262545761 15929041171 12122000331131