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12001233213133 = 37379573854533
BaseRepresentation
bin1010111010100100000100…
…1111100001011011001101
31120111022021120120211011221
42232221001033201123031
53033112011200310013
641305142422043341
72346026514111043
oct256510117413315
946438246524157
1012001233213133
11390777030610a
121419b04879551
136909330426b8
142d6c116b6393
1515c2a631c08d
hexaea413e16cd

12001233213133 has 8 divisors (see below), whose sum is σ = 12325637763608. Its totient is φ = 11676831130944.

The previous prime is 12001233213127. The next prime is 12001233213143. The reversal of 12001233213133 is 33131233210021.

12001233213133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 707782324804 + 11293450888329 = 841298^2 + 3360573^2 .

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 12001233213133 - 217 = 12001233082061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001233213098 and 12001233213107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001233213103) 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, 13616935 + ... + 14471467.

It is an arithmetic number, because the mean of its divisors is an integer number (1540704720451).

Almost surely, 212001233213133 is an apocalyptic number.

It is an amenable number.

12001233213133 is a deficient number, since it is larger than the sum of its proper divisors (324404550475).

12001233213133 is an equidigital number, since it uses as much as digits as its factorization.

12001233213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234143.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12001233213133 its reverse (33131233210021), we get a palindrome (45132466423154).

The spelling of 12001233213133 in words is "twelve trillion, one billion, two hundred thirty-three million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 37 379573 854533 14044201 31617721 324357654409 12001233213133