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12210212200 = 2352292105209
BaseRepresentation
bin10110101111100100…
…10000110101101000
31011111221200001021111
423113302100311220
5200001303242300
65335335120104
7611403043204
oct132762206550
934457601244
1012210212200
1151a638a16a
122449213034
1311c7886144
1483b8dbb04
154b6e459ba
hex2d7c90d68

12210212200 has 48 divisors (see below), whose sum is σ = 29367679500. Its totient is φ = 4715665920.

The previous prime is 12210212197. The next prime is 12210212227. The reversal of 12210212200 is 221201221.

It is a happy number.

12210212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2288856964 + 9921355236 = 47842^2 + 99606^2 .

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, 1046805 + ... + 1058404.

Almost surely, 212210212200 is an apocalyptic number.

12210212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210212200 is an abundant number, since it is smaller than the sum of its proper divisors (17157467300).

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

12210212200 is a wasteful number, since it uses less digits than its factorization.

12210212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105254 (or 2105245 counting only the distinct ones).

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

Adding to 12210212200 its reverse (221201221), we get a palindrome (12431413421).

It can be divided in two parts, 1221021 and 2200, that added together give a palindrome (1223221).

The spelling of 12210212200 in words is "twelve billion, two hundred ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 2105209 4210418 8420836 10526045 16841672 21052090 42104180 52630225 61051061 84208360 105260450 122102122 210520900 244204244 305255305 421041800 488408488 610510610 1221021220 1526276525 2442042440 3052553050 6105106100 12210212200