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12121210200 = 233521112714461
BaseRepresentation
bin10110100100111101…
…01111110101011000
31011021202012021111010
423102132233311120
5144311012211300
65322435333520
7606242405151
oct132236576530
934252167433
1012121210200
11516011a6a0
1224234512a0
1311b22c3538
1482db70928
154ae214a50
hex2d27afd58

12121210200 has 192 divisors, whose sum is σ = 41317355520. Its totient is φ = 2915136000.

The previous prime is 12121210177. The next prime is 12121210207. The reversal of 12121210200 is 201212121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121210207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830970 + ... + 845430.

It is an arithmetic number, because the mean of its divisors is an integer number (215194560).

Almost surely, 212121210200 is an apocalyptic number.

12121210200 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 12121210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20658677760).

12121210200 is an abundant number, since it is smaller than the sum of its proper divisors (29196145320).

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

12121210200 is a wasteful number, since it uses less digits than its factorization.

12121210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14618 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121210200 its reverse (201212121), we get a palindrome (12322422321).

The spelling of 12121210200 in words is "twelve billion, one hundred twenty-one million, two hundred ten thousand, two hundred".