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12421306400 = 255223675071
BaseRepresentation
bin10111001000101111…
…00001100000100000
31012001122212202002012
423210113201200200
5200414323301100
65412315412052
7616545235166
oct134427414040
935048782065
1012421306400
1152a455a388
1224a7a54028
13122c526059
1485b96b236
154ca742135
hex2e45e1820

12421306400 has 72 divisors (see below), whose sum is σ = 31641974784. Its totient is φ = 4752492800.

The previous prime is 12421306399. The next prime is 12421306427. The reversal of 12421306400 is 460312421.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319136 + ... + 355935.

It is an arithmetic number, because the mean of its divisors is an integer number (439471872).

Almost surely, 212421306400 is an apocalyptic number.

12421306400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421306400 is an abundant number, since it is smaller than the sum of its proper divisors (19220668384).

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

12421306400 is a wasteful number, since it uses less digits than its factorization.

12421306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675114 (or 675101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12421306400 its reverse (460312421), we get a palindrome (12881618821).

The spelling of 12421306400 in words is "twelve billion, four hundred twenty-one million, three hundred six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 9200 18400 675071 1350142 2700284 3375355 5400568 6750710 10801136 13501420 15526633 16876775 21602272 27002840 31053266 33753550 54005680 62106532 67507100 77633165 108011360 124213064 135014200 155266330 248426128 270028400 310532660 388165825 496852256 540056800 621065320 776331650 1242130640 1552663300 2484261280 3105326600 6210653200 12421306400