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12402021424 = 24131712727617
BaseRepresentation
bin10111000110011011…
…11101010000110000
31012000022120222001211
423203031331100300
5200344404141144
65410350205504
7616222304602
oct134315752060
935008528054
1012402021424
115294688291
1224a14b3894
131228533220
1485918b172
154c8bd3034
hex2e337d430

12402021424 has 80 divisors (see below), whose sum is σ = 27616232448. Its totient is φ = 5344690176.

The previous prime is 12402021421. The next prime is 12402021433. The reversal of 12402021424 is 42412020421.

12402021424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12402021395 and 12402021404.

It is not an unprimeable number, because it can be changed into a prime (12402021421) 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 15 ways as a sum of consecutive naturals, for example, 435264 + ... + 462880.

Almost surely, 212402021424 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 12402021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808116224).

12402021424 is an abundant number, since it is smaller than the sum of its proper divisors (15214211024).

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

12402021424 is a wasteful number, since it uses less digits than its factorization.

12402021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27782 (or 27776 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12402021424 its reverse (42412020421), we get a palindrome (54814041845).

The spelling of 12402021424 in words is "twelve billion, four hundred two million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 127 136 208 221 254 272 442 508 884 1016 1651 1768 2032 2159 3302 3536 4318 6604 8636 13208 17272 26416 27617 28067 34544 55234 56134 110468 112268 220936 224536 359021 441872 449072 469489 718042 938978 1436084 1877956 2872168 3507359 3755912 5744336 6103357 7014718 7511824 12206714 14029436 24413428 28058872 45595667 48826856 56117744 59625103 91191334 97653712 119250206 182382668 238500412 364765336 477000824 729530672 775126339 954001648 1550252678 3100505356 6201010712 12402021424