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12441402200 = 23521011573923
BaseRepresentation
bin10111001011001000…
…01011101101011000
31012010001200201100002
423211210023231120
5200434444332300
65414314232132
7620211113423
oct134544135530
935101621302
1012441402200
115304935687
1224b2725648
131233740c66
148604bc9ba
154cc3b15d5
hex2e590bb58

12441402200 has 96 divisors (see below), whose sum is σ = 29406220560. Its totient is φ = 4894656000.

The previous prime is 12441402173. The next prime is 12441402203. The reversal of 12441402200 is 220414421.

12441402200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441402203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3169439 + ... + 3173361.

Almost surely, 212441402200 is an apocalyptic number.

12441402200 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 12441402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703110280).

12441402200 is an abundant number, since it is smaller than the sum of its proper divisors (16964818360).

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

12441402200 is a wasteful number, since it uses less digits than its factorization.

12441402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12441402200 its reverse (220414421), we get a palindrome (12661816621).

The spelling of 12441402200 in words is "twelve billion, four hundred forty-one million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 157 200 202 314 404 505 628 785 808 1010 1256 1570 2020 2525 3140 3923 3925 4040 5050 6280 7846 7850 10100 15692 15700 15857 19615 20200 31384 31400 31714 39230 63428 78460 79285 98075 126856 156920 158570 196150 317140 392300 396223 396425 615911 634280 784600 792446 792850 1231822 1584892 1585700 1981115 2463644 3079555 3169784 3171400 3962230 4927288 6159110 7924460 9905575 12318220 15397775 15848920 19811150 24636440 30795550 39622300 61591100 62207011 79244600 123182200 124414022 248828044 311035055 497656088 622070110 1244140220 1555175275 2488280440 3110350550 6220701100 12441402200