Search a number
-
+
2112221001200 = 245246311405081
BaseRepresentation
bin11110101111001010001…
…011101011010111110000
321110221000022110101012212
4132233022023223113300
5234101312034014300
64254201350311252
7305413543163462
oct36571213532760
97427008411185
102112221001200
11744873764a82
122a1442658528
13124248c3696b
1474336a1a132
1539e2508e935
hex1ebca2eb5f0

2112221001200 has 60 divisors (see below), whose sum is σ = 5085571684128. Its totient is φ = 843063513600.

The previous prime is 2112221001197. The next prime is 2112221001203. The reversal of 2112221001200 is 21001222112.

It is an interprime number because it is at equal distance from previous prime (2112221001197) and next prime (2112221001203).

It is a super-2 number, since 2×21122210012002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112221001203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5517341 + ... + 5887740.

Almost surely, 22112221001200 is an apocalyptic number.

2112221001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112221001200 is an abundant number, since it is smaller than the sum of its proper divisors (2973350682928).

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

2112221001200 is a wasteful number, since it uses less digits than its factorization.

2112221001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405562 (or 11405551 counting only the distinct ones).

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

Adding to 2112221001200 its reverse (21001222112), we get a palindrome (2133222223312).

The spelling of 2112221001200 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 463 926 1852 2315 3704 4630 7408 9260 11575 18520 23150 37040 46300 92600 185200 11405081 22810162 45620324 57025405 91240648 114050810 182481296 228101620 285127025 456203240 570254050 912406480 1140508100 2281016200 4562032400 5280552503 10561105006 21122210012 26402762515 42244420024 52805525030 84488840048 105611050060 132013812575 211222100120 264027625150 422444200240 528055250300 1056110500600 2112221001200