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12412040202 = 2323798318959
BaseRepresentation
bin10111000111101000…
…01011010000001010
31012001000102222020200
423203310023100022
5200404440241302
65411345033030
7616403413062
oct134364132012
935030388220
1012412040202
11529a300571
1224a4925776
13122a6304b3
1485a6383a2
154c9a1181c
hex2e3d0b40a

12412040202 has 48 divisors (see below), whose sum is σ = 27649140480. Its totient is φ = 4021219296.

The previous prime is 12412040197. The next prime is 12412040203. The reversal of 12412040202 is 20204021421.

12412040202 is a `hidden beast` number, since 1 + 241 + 20 + 402 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12412040203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645199 + ... + 664157.

It is an arithmetic number, because the mean of its divisors is an integer number (576023760).

Almost surely, 212412040202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412040202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824570240).

12412040202 is an abundant number, since it is smaller than the sum of its proper divisors (15237100278).

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

12412040202 is a wasteful number, since it uses less digits than its factorization.

12412040202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19987 (or 19984 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12412040202 its reverse (20204021421), we get a palindrome (32616061623).

It can be divided in two parts, 12 and 412040202, that added together give a palindrome (412040214).

The spelling of 12412040202 in words is "twelve billion, four hundred twelve million, forty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 983 1966 2949 5898 8847 17694 18959 36371 37918 56877 72742 109113 113754 170631 218226 327339 341262 654678 701483 1402966 2104449 4208898 6313347 12626694 18636697 37273394 55910091 111820182 167730273 335460546 689557789 1379115578 2068673367 4137346734 6206020101 12412040202