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12412330400 = 255215515413
BaseRepresentation
bin10111000111101010…
…10010000110100000
31012001000222201022202
423203311102012200
5200410024033100
65411355152332
7616406032121
oct134365220640
935030881282
1012412330400
11529a4895a8
1224a4a456a8
13122a702602
1485a6b2048
154c9a6c7d5
hex2e3d521a0

12412330400 has 36 divisors (see below), whose sum is σ = 30301603542. Its totient is φ = 4964931840.

The previous prime is 12412330387. The next prime is 12412330409. The reversal of 12412330400 is 403321421.

It can be written as a sum of positive squares in 3 ways, for example, as 12081527056 + 330803344 = 109916^2 + 18188^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12412330409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7756907 + ... + 7758506.

Almost surely, 212412330400 is an apocalyptic number.

12412330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412330400 is an abundant number, since it is smaller than the sum of its proper divisors (17889273142).

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

12412330400 is a wasteful number, since it uses less digits than its factorization.

12412330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15515433 (or 15515420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12412330400 its reverse (403321421), we get a palindrome (12815651821).

The spelling of 12412330400 in words is "twelve billion, four hundred twelve million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15515413 31030826 62061652 77577065 124123304 155154130 248246608 310308260 387885325 496493216 620616520 775770650 1241233040 1551541300 2482466080 3103082600 6206165200 12412330400