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12120212200 = 2352431409327
BaseRepresentation
bin10110100100110101…
…11100001011101000
31011021200022120111011
423102122330023220
5144310233242300
65322402113304
7606231050425
oct132232741350
934250276434
1012120212200
11515a5a88a8
12242304b834
1311b20341c5
1482d990d4c
154ae0b8eba
hex2d26bc2e8

12120212200 has 48 divisors (see below), whose sum is σ = 28834850880. Its totient is φ = 4735335360.

The previous prime is 12120212173. The next prime is 12120212213. The reversal of 12120212200 is 221202121.

It is a happy number.

12120212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696064 + ... + 713263.

It is an arithmetic number, because the mean of its divisors is an integer number (600726060).

Almost surely, 212120212200 is an apocalyptic number.

12120212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120212200 is an abundant number, since it is smaller than the sum of its proper divisors (16714638680).

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

12120212200 is a wasteful number, since it uses less digits than its factorization.

12120212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409386 (or 1409377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12120212200 its reverse (221202121), we get a palindrome (12341414321).

The spelling of 12120212200 in words is "twelve billion, one hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 1409327 2818654 5637308 7046635 11274616 14093270 28186540 35233175 56373080 60601061 70466350 121202122 140932700 242404244 281865400 303005305 484808488 606010610 1212021220 1515026525 2424042440 3030053050 6060106100 12120212200