Search a number
-
+
1212122010200 = 235235340034289
BaseRepresentation
bin10001101000111000000…
…110100001001001011000
311021212200212102000212012
4101220320012201021120
5124324411213311300
62324501405205052
7153400341042443
oct21507006411130
94255625360765
101212122010200
11428070302842
12176b01260788
138a3c1acb3ca
144294a42665a
15217e400c435
hex11a381a1258

1212122010200 has 96 divisors (see below), whose sum is σ = 2827532307600. Its totient is φ = 483241820160.

The previous prime is 1212122010193. The next prime is 1212122010251. The reversal of 1212122010200 is 20102212121.

It is a super-2 number, since 2×12121220102002 (a number of 25 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 23 ways as a sum of consecutive naturals, for example, 282609656 + ... + 282613944.

Almost surely, 21212122010200 is an apocalyptic number.

1212122010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212122010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413766153800).

1212122010200 is an abundant number, since it is smaller than the sum of its proper divisors (1615410297400).

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

1212122010200 is a wasteful number, since it uses less digits than its factorization.

1212122010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8661 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1212122010200 its reverse (20102212121), we get a palindrome (1232224222321).

The spelling of 1212122010200 in words is "one trillion, two hundred twelve billion, one hundred twenty-two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 706 1412 1765 2824 3530 4003 4289 7060 8006 8578 8825 14120 16012 17156 17650 20015 21445 32024 34312 35300 40030 42890 70600 80060 85780 100075 107225 160120 171560 200150 214450 400300 428900 800600 857800 1413059 1514017 2826118 3028034 5652236 6056068 7065295 7570085 11304472 12112136 14130590 15140170 17168867 28261180 30280340 34337734 35326475 37850425 56522360 60560680 68675468 70652950 75700850 85844335 137350936 141305900 151401700 171688670 282611800 302803400 343377340 429221675 686754680 858443350 1716886700 3433773400 6060610051 12121220102 24242440204 30303050255 48484880408 60606100510 121212201020 151515251275 242424402040 303030502550 606061005100 1212122010200