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12420403224 = 2334116775583
BaseRepresentation
bin10111001000101000…
…00101000000011000
31012001121011212011020
423210110011000120
5200414110400344
65412244202440
7616534454055
oct134424050030
935047155136
1012420403224
1152a3aa2859
1224a7699420
13122c29ac28
1485b7b402c
154ca614719
hex2e4505018

12420403224 has 64 divisors (see below), whose sum is σ = 31999242240. Its totient is φ = 4014915840.

The previous prime is 12420403207. The next prime is 12420403273. The reversal of 12420403224 is 42230402421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12420403194 and 12420403203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126537 + ... + 202119.

It is an arithmetic number, because the mean of its divisors is an integer number (499988160).

Almost surely, 212420403224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420403224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999621120).

12420403224 is an abundant number, since it is smaller than the sum of its proper divisors (19578839016).

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

12420403224 is a wasteful number, since it uses less digits than its factorization.

12420403224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75800 (or 75796 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12420403224 its reverse (42230402421), we get a palindrome (54650805645).

The spelling of 12420403224 in words is "twelve billion, four hundred twenty million, four hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 167 246 328 334 492 501 668 984 1002 1336 2004 4008 6847 13694 20541 27388 41082 54776 75583 82164 151166 164328 226749 302332 453498 604664 906996 1813992 3098903 6197806 9296709 12395612 12622361 18593418 24791224 25244722 37186836 37867083 50489444 74373672 75734166 100978888 151468332 302936664 517516801 1035033602 1552550403 2070067204 3105100806 4140134408 6210201612 12420403224