Search a number
-
+
12202002122202 = 233435719203071
BaseRepresentation
bin1011000110010000000000…
…0000001000010111011010
31121012111111111201010122000
42301210000000020113122
53044404200020402302
641541304500341430
72366364662510334
oct261440000102732
947174444633560
1012202002122202
113984927102052
1214509b59a4876
136a684a74a049
1430281994c454
1516260702631c
hexb19000085da

12202002122202 has 64 divisors (see below), whose sum is σ = 27794749931520. Its totient is φ = 3965786924400.

The previous prime is 12202002122197. The next prime is 12202002122213. The reversal of 12202002122202 is 20222120020221.

12202002122202 is a `hidden beast` number, since 1 + 220 + 200 + 21 + 2 + 220 + 2 = 666.

It is a super-2 number, since 2×122020021222022 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3275674 + ... + 5927397.

It is an arithmetic number, because the mean of its divisors is an integer number (434292967680).

Almost surely, 212202002122202 is an apocalyptic number.

12202002122202 is an abundant number, since it is smaller than the sum of its proper divisors (15592747809318).

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

12202002122202 is a wasteful number, since it uses less digits than its factorization.

12202002122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9203696 (or 9203690 counting only the distinct ones).

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

Adding to 12202002122202 its reverse (20222120020221), we get a palindrome (32424122142423).

The spelling of 12202002122202 in words is "twelve trillion, two hundred two billion, two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 571 774 1142 1161 1713 2322 3426 5139 10278 15417 24553 30834 49106 73659 147318 220977 441954 662931 1325862 9203071 18406142 27609213 55218426 82827639 165655278 248482917 395732053 496965834 791464106 1187196159 2374392318 3561588477 5254953541 7123176954 10509907082 10684765431 15764860623 21369530862 31529721246 47294581869 94589163738 141883745607 225963002263 283767491214 451926004526 677889006789 1355778013578 2033667020367 4067334040734 6101001061101 12202002122202