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12132112200 = 23352131579907
BaseRepresentation
bin10110100110010000…
…10101011101001000
31011022111201011012220
423103020111131020
5144321310042300
65323505134040
7606434152335
oct132310253510
934274634186
1012132112200
11516629650a
12242702a320
1311b463c820
148313ab98c
154b0169da0
hex2d3215748

12132112200 has 192 divisors, whose sum is σ = 40764682560. Its totient is φ = 2967045120.

The previous prime is 12132112193. The next prime is 12132112231. The reversal of 12132112200 is 221123121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12132112200.

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, 1219647 + ... + 1229553.

It is an arithmetic number, because the mean of its divisors is an integer number (212316055).

Almost surely, 212132112200 is an apocalyptic number.

12132112200 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 12132112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20382341280).

12132112200 is an abundant number, since it is smaller than the sum of its proper divisors (28632570360).

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

12132112200 is a wasteful number, since it uses less digits than its factorization.

12132112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12132112200 its reverse (221123121), we get a palindrome (12353235321).

The spelling of 12132112200 in words is "twelve billion, one hundred thirty-two million, one hundred twelve thousand, two hundred".