Search a number
-
+
12202202002221 = 32711415335922571
BaseRepresentation
bin1011000110010000101111…
…1010100111001100101101
31121012112000102211002110200
42301210023322213030231
53044410102203032341
641541340400424113
72366402640455040
oct261441372471455
947175012732420
1012202202002221
113984a19a12950
121450a50918039
136a687cc9184a
143028382dcc57
15162619859db6
hexb190bea732d

12202202002221 has 192 divisors, whose sum is σ = 23000124026880. Its totient is φ = 6050348928000.

The previous prime is 12202202002189. The next prime is 12202202002231. The reversal of 12202202002221 is 12220020220221.

12202202002221 is a `hidden beast` number, since 1 + 2 + 20 + 220 + 200 + 2 + 221 = 666.

It is not a de Polignac number, because 12202202002221 - 25 = 12202202002189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202202002194 and 12202202002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202202002231) 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 191 ways as a sum of consecutive naturals, for example, 540602866 + ... + 540625436.

It is an arithmetic number, because the mean of its divisors is an integer number (119792312640).

Almost surely, 212202202002221 is an apocalyptic number.

12202202002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202202002221 is a deficient number, since it is larger than the sum of its proper divisors (10797922024659).

12202202002221 is a wasteful number, since it uses less digits than its factorization.

12202202002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23048 (or 23045 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12202202002221 its reverse (12220020220221), we get a palindrome (24422222222442).

The spelling of 12202202002221 in words is "twelve trillion, two hundred two billion, two hundred two million, two thousand, two hundred twenty-one".