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12112200000 = 2633552243
BaseRepresentation
bin10110100011111000…
…11000000101000000
31011021010020111211000
423101330120011000
5144301210400000
65321514252000
7606103000305
oct132174300500
934233214730
1012112200000
11515602614a
122420427000
1311b048a364
1482c8a70ac
154ad535000
hex2d1f18140

12112200000 has 336 divisors, whose sum is σ = 44526525120. Its totient is φ = 3228480000.

The previous prime is 12112199989. The next prime is 12112200013. The reversal of 12112200000 is 221121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5398879 + ... + 5401121.

It is an arithmetic number, because the mean of its divisors is an integer number (132519420).

Almost surely, 212112200000 is an apocalyptic number.

12112200000 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 12112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22263262560).

12112200000 is an abundant number, since it is smaller than the sum of its proper divisors (32414325120).

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

12112200000 is an frugal number, since it uses more digits than its factorization.

12112200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12112200000 its reverse (221121), we get a palindrome (12112421121).

The spelling of 12112200000 in words is "twelve billion, one hundred twelve million, two hundred thousand".