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12112233200 = 2452316167239
BaseRepresentation
bin10110100011111001…
…00000001011110000
31011021010022012100122
423101330200023300
5144301212430300
65321515105412
7606103166144
oct132174401360
934233265318
1012112233200
115156049091
122420442268
1311b049c4c2
1482c8b5224
154ad53ec85
hex2d1f202f0

12112233200 has 240 divisors, whose sum is σ = 31116103680. Its totient is φ = 4523904000.

The previous prime is 12112233193. The next prime is 12112233247. The reversal of 12112233200 is 233221121.

It is a congruent number.

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, 50678681 + ... + 50678919.

It is an arithmetic number, because the mean of its divisors is an integer number (129650432).

Almost surely, 212112233200 is an apocalyptic number.

12112233200 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 12112233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15558051840).

12112233200 is an abundant number, since it is smaller than the sum of its proper divisors (19003870480).

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

12112233200 is a wasteful number, since it uses less digits than its factorization.

12112233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12112233200 its reverse (233221121), we get a palindrome (12345454321).

The spelling of 12112233200 in words is "twelve billion, one hundred twelve million, two hundred thirty-three thousand, two hundred".