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12100200 = 2335274367
BaseRepresentation
bin101110001010…
…001001101000
3211202202100120
4232022021220
511044201300
61111203240
7204564360
oct56121150
924682316
1012100200
116915072
124076520
1326787a8
14186d9a0
1510e03a0
hexb8a268

12100200 has 192 divisors, whose sum is σ = 44520960. Its totient is φ = 2661120.

The previous prime is 12100189. The next prime is 12100201. The reversal of 12100200 is 200121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (12100201) 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, 180567 + ... + 180633.

It is an arithmetic number, because the mean of its divisors is an integer number (231880).

Almost surely, 212100200 is an apocalyptic number.

12100200 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 12100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260480).

12100200 is an abundant number, since it is smaller than the sum of its proper divisors (32420760).

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

12100200 is a wasteful number, since it uses less digits than its factorization.

12100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12100200 is about 3478.5341740452. The cubic root of 12100200 is about 229.5783073469.

Adding to 12100200 its reverse (200121), we get a palindrome (12300321).

The spelling of 12100200 in words is "twelve million, one hundred thousand, two hundred".