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12002112202122 = 232795254858747
BaseRepresentation
bin1010111010100111010110…
…1000100110010110001010
31120111101112211120002101200
42232221311220212112022
53033120311210431442
641305405541525030
72346060346310130
oct256516550462612
946441484502350
1012002112202122
113908081497599
12141a10b113776
13690a43190723
142d6c96323750
1515c30859834c
hexaea75a2658a

12002112202122 has 24 divisors (see below), whose sum is σ = 29719515929376. Its totient is φ = 3429174914856.

The previous prime is 12002112202063. The next prime is 12002112202141. The reversal of 12002112202122 is 22120221120021.

It is a happy number.

12002112202122 is a `hidden beast` number, since 1 + 20 + 0 + 211 + 220 + 212 + 2 = 666.

12002112202122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12002112202095 and 12002112202104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47627429248 + ... + 47627429499.

It is an arithmetic number, because the mean of its divisors is an integer number (1238313163724).

Almost surely, 212002112202122 is an apocalyptic number.

12002112202122 is an abundant number, since it is smaller than the sum of its proper divisors (17717403727254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12002112202122 is a wasteful number, since it uses less digits than its factorization.

12002112202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95254858762 (or 95254858759 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002112202122 its reverse (22120221120021), we get a palindrome (34122333322143).

The spelling of 12002112202122 in words is "twelve trillion, two billion, one hundred twelve million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 95254858747 190509717494 285764576241 571529152482 666784011229 857293728723 1333568022458 1714587457446 2000352033687 4000704067374 6001056101061 12002112202122