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12120112200 = 23352723373391
BaseRepresentation
bin10110100100110101…
…00011110001001000
31011021200010111022110
423102122203301020
5144310222042300
65322400022320
7606230153040
oct132232436110
934250114273
1012120112200
11515a53a759
1224230019a0
1311b1cca831
1482d966720
154ae099550
hex2d26a3c48

12120112200 has 384 divisors, whose sum is σ = 46031339520. Its totient is φ = 2577484800.

The previous prime is 12120112181. The next prime is 12120112261. The reversal of 12120112200 is 221102121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3572505 + ... + 3575895.

It is an arithmetic number, because the mean of its divisors is an integer number (119873280).

Almost surely, 212120112200 is an apocalyptic number.

12120112200 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 12120112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015669760).

12120112200 is an abundant number, since it is smaller than the sum of its proper divisors (33911227320).

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

12120112200 is a wasteful number, since it uses less digits than its factorization.

12120112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3468 counting only the distinct ones).

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

Adding to 12120112200 its reverse (221102121), we get a palindrome (12341214321).

The spelling of 12120112200 in words is "twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred".