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12002202312021 = 3217343317802641
BaseRepresentation
bin1010111010100111101100…
…0000010101110101010101
31120111101210010010010221100
42232221323000111311111
53033121002242441041
641305422521140313
72346062522241165
oct256517300256525
946441703103840
1012002202312021
113908118343489
12141a13532a699
13690a58a506ac
142d6ca429c5a5
1515c3114476b6
hexaea7b015d55

12002202312021 has 24 divisors (see below), whose sum is σ = 17476996072536. Its totient is φ = 7936844175360.

The previous prime is 12002202311969. The next prime is 12002202312031. The reversal of 12002202312021 is 12021320220021.

12002202312021 is a `hidden beast` number, since 12 + 0 + 0 + 220 + 231 + 202 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968179249521 + 11034023062500 = 983961^2 + 3321750^2 .

It is not a de Polignac number, because 12002202312021 - 27 = 12002202311893 is a prime.

It is a super-2 number, since 2×120022023120212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002202311985 and 12002202312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002202312031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8227140 + ... + 9575501.

It is an arithmetic number, because the mean of its divisors is an integer number (728208169689).

Almost surely, 212002202312021 is an apocalyptic number.

It is an amenable number.

12002202312021 is a deficient number, since it is larger than the sum of its proper divisors (5474793760515).

12002202312021 is a wasteful number, since it uses less digits than its factorization.

12002202312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17803253 (or 17803250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12002202312021 its reverse (12021320220021), we get a palindrome (24023522532042).

The spelling of 12002202312021 in words is "twelve trillion, two billion, two hundred two million, three hundred twelve thousand, twenty-one".

Divisors: 1 3 9 173 433 519 1299 1557 3897 74909 224727 674181 17802641 53407923 160223769 3079856893 7708543553 9239570679 23125630659 27718712037 69376891977 1333578034669 4000734104007 12002202312021