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12102220200 = 2335273192951
BaseRepresentation
bin10110100010101100…
…10011100110101000
31011020102110111002210
423101112103212220
5144241132021300
65320520325120
7605622113550
oct132126234650
934212414083
1012102220200
11515042a184
1224190137a0
1311ab3a4a55
1482b42a160
154ac713050
hex2d15939a8

12102220200 has 192 divisors, whose sum is σ = 44260024320. Its totient is φ = 2676960000.

The previous prime is 12102220177. The next prime is 12102220213. The reversal of 12102220200 is 202220121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83725 + ... + 176675.

It is an arithmetic number, because the mean of its divisors is an integer number (230520960).

Almost surely, 212102220200 is an apocalyptic number.

12102220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22130012160).

12102220200 is an abundant number, since it is smaller than the sum of its proper divisors (32157804120).

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

12102220200 is a wasteful number, since it uses less digits than its factorization.

12102220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93008 (or 92999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12102220200 its reverse (202220121), we get a palindrome (12304440321).

The spelling of 12102220200 in words is "twelve billion, one hundred two million, two hundred twenty thousand, two hundred".