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12440133220 = 2253165330727
BaseRepresentation
bin10111001010111110…
…10101111001100100
31012002222022020121211
423211133111321210
5200434133230340
65414231121204
7620164246654
oct134537257144
935088266554
1012440133220
115304149239
1224b2213204
1312333b8498
1486026c364
154cc2105ea
hex2e57d5e64

12440133220 has 48 divisors (see below), whose sum is σ = 27009174528. Its totient is φ = 4808004480.

The previous prime is 12440133191. The next prime is 12440133221. The reversal of 12440133220 is 2233104421.

It is a junction number, because it is equal to n+sod(n) for n = 12440133191 and 12440133200.

It is not an unprimeable number, because it can be changed into a prime (12440133221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389497 + ... + 420223.

It is an arithmetic number, because the mean of its divisors is an integer number (562691136).

Almost surely, 212440133220 is an apocalyptic number.

12440133220 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 12440133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13504587264).

12440133220 is an abundant number, since it is smaller than the sum of its proper divisors (14569041308).

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

12440133220 is a wasteful number, since it uses less digits than its factorization.

12440133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31420 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12440133220 its reverse (2233104421), we get a palindrome (14673237641).

The spelling of 12440133220 in words is "twelve billion, four hundred forty million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 653 1306 2612 3265 6530 13060 20243 30727 40486 61454 80972 101215 122908 153635 202430 307270 404860 614540 952537 1905074 3810148 4762685 9525370 19050740 20064731 40129462 80258924 100323655 200647310 401294620 622006661 1244013322 2488026644 3110033305 6220066610 12440133220