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12221001210222 = 232737109127409463
BaseRepresentation
bin1011000111010110110001…
…1011111001100101101110
31121021022112120211210202200
42301311230123321211232
53100212102302211342
641554130033002330
72400636542214450
oct261655433714556
947238476753680
1012221001210222
113991996645092
1214546186b33a6
136a858795866c
143036dcd2a2d0
15162d69e8094c
hexb1d6c6f996e

12221001210222 has 384 divisors, whose sum is σ = 31757234995200. Its totient is φ = 3324309424128.

The previous prime is 12221001210137. The next prime is 12221001210251. The reversal of 12221001210222 is 22201210012221.

It is a happy number.

12221001210222 is a `hidden beast` number, since 1 + 22 + 210 + 0 + 1 + 210 + 222 = 666.

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 = 12221001210195 and 12221001210204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26395250763 + ... + 26395251225.

It is an arithmetic number, because the mean of its divisors is an integer number (82701132800).

Almost surely, 212221001210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221001210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878617497600).

12221001210222 is an abundant number, since it is smaller than the sum of its proper divisors (19536233784978).

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

12221001210222 is a wasteful number, since it uses less digits than its factorization.

12221001210222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1157 counting only the distinct ones).

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

Adding to 12221001210222 its reverse (22201210012221), we get a palindrome (34422211222443).

The spelling of 12221001210222 in words is "twelve trillion, two hundred twenty-one billion, one million, two hundred ten thousand, two hundred twenty-two".