Search a number
-
+
12211202000 = 245317359153
BaseRepresentation
bin10110101111101100…
…00010011111010000
31011112000112100000202
423113312002133100
5200002031431000
65335412234332
7611414335004
oct132766023720
934460470022
1012211202000
1151a69a5888
12244960b9a8
1311c7b4181a
1483bab8704
154b708ddd5
hex2d7d827d0

12211202000 has 80 divisors (see below), whose sum is σ = 31263637392. Its totient is φ = 4597145600.

The previous prime is 12211201993. The next prime is 12211202027. The reversal of 12211202000 is 20211221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5385798544 + 6825403456 = 73388^2 + 82616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122112020002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145577 + ... + 213576.

Almost surely, 212211202000 is an apocalyptic number.

12211202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211202000 is an abundant number, since it is smaller than the sum of its proper divisors (19052435392).

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

12211202000 is a wasteful number, since it uses less digits than its factorization.

12211202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359193 (or 359177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12211202000 its reverse (20211221), we get a palindrome (12231413221).

The spelling of 12211202000 in words is "twelve billion, two hundred eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 359153 718306 1436612 1795765 2873224 3591530 5746448 6105601 7183060 8978825 12211202 14366120 17957650 24422404 28732240 30528005 35915300 44894125 48844808 61056010 71830600 89788250 97689616 122112020 143661200 152640025 179576500 244224040 305280050 359153000 488448080 610560100 718306000 763200125 1221120200 1526400250 2442240400 3052800500 6105601000 12211202000