Search a number
-
+
12032022001200 = 2435210026685001
BaseRepresentation
bin1010111100010110110001…
…1001011011011000110000
31120121020202022010022100220
42233011230121123120300
53034113040113014300
641331233512413040
72351166502355415
oct257055431333060
946536668108326
1012032022001200
11391982a822303
121423a779a7180
136937cb9632a6
142d84d27ac10c
1515cea9305da0
hexaf16c65b630

12032022001200 has 60 divisors (see below), whose sum is σ = 38542577147688. Its totient is φ = 3208539200000.

The previous prime is 12032022001199. The next prime is 12032022001201. The reversal of 12032022001200 is 210022023021.

It is a happy number.

12032022001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12032022001199) and next prime (12032022001201).

It is a tau number, because it is divible by the number of its divisors (60).

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 12032022001200.

It is not an unprimeable number, because it can be changed into a prime (12032022001201) 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, 5013341301 + ... + 5013343700.

Almost surely, 212032022001200 is an apocalyptic number.

12032022001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032022001200 is an abundant number, since it is smaller than the sum of its proper divisors (26510555146488).

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

12032022001200 is a wasteful number, since it uses less digits than its factorization.

12032022001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026685022 (or 10026685011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12032022001200 its reverse (210022023021), we get a palindrome (12242044024221).

The spelling of 12032022001200 in words is "twelve trillion, thirty-two billion, twenty-two million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10026685001 20053370002 30080055003 40106740004 50133425005 60160110006 80213480008 100266850010 120320220012 150400275015 160426960016 200533700020 240640440024 250667125025 300800550030 401067400040 481280880048 501334250050 601601100060 752001375075 802134800080 1002668500100 1203202200120 1504002750150 2005337000200 2406404400240 3008005500300 4010674000400 6016011000600 12032022001200