Search a number
-
+
12001121212200 = 23352171176580511
BaseRepresentation
bin1010111010100011101010…
…0100010001011100101000
31120111021222202211120210020
42232220322210101130220
53033111244012242300
641305123341320440
72346023654113521
oct256507244213450
946437882746706
1012001121212200
11390771306815a
121419a93266120
13690915a89663
142d6c0087d848
1515c29b5968a0
hexaea3a911728

12001121212200 has 96 divisors (see below), whose sum is σ = 39391915541760. Its totient is φ = 3012046105600.

The previous prime is 12001121212189. The next prime is 12001121212207. The reversal of 12001121212200 is 221212110021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001121212200.

It is not an unprimeable number, because it can be changed into a prime (12001121212207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588280056 + ... + 588300455.

It is an arithmetic number, because the mean of its divisors is an integer number (410332453560).

Almost surely, 212001121212200 is an apocalyptic number.

12001121212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001121212200 is an abundant number, since it is smaller than the sum of its proper divisors (27390794329560).

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

12001121212200 is a wasteful number, since it uses less digits than its factorization.

12001121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176580547 (or 1176580538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12001121212200 its reverse (221212110021), we get a palindrome (12222333322221).

The spelling of 12001121212200 in words is "twelve trillion, one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 1176580511 2353161022 3529741533 4706322044 5882902555 7059483066 9412644088 11765805110 14118966132 17648707665 20001868687 23531610220 28237932264 29414512775 35297415330 40003737374 47063220440 58829025550 60005606061 70594830660 80007474748 88243538325 100009343435 117658051100 120011212122 141189661320 160014949496 176487076650 200018686870 235316102200 240022424244 300028030305 352974153300 400037373740 480044848488 500046717175 600056060610 705948306600 800074747480 1000093434350 1200112121220 1500140151525 2000186868700 2400224242440 3000280303050 4000373737400 6000560606100 12001121212200