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12421434000 = 243532070239
BaseRepresentation
bin10111001000110000…
…00000101010010000
31012001200010020010010
423210120000222100
5200414341342000
65412322234520
7616546306203
oct134430005220
935050106103
1012421434000
1152a4637238
1224a7ab5a40
13122c56c161
1485b9a193a
154ca769d50
hex2e4600a90

12421434000 has 80 divisors (see below), whose sum is σ = 40046722560. Its totient is φ = 3312380800.

The previous prime is 12421433993. The next prime is 12421434031. The reversal of 12421434000 is 43412421.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1029120 + ... + 1041119.

It is an arithmetic number, because the mean of its divisors is an integer number (500584032).

Almost surely, 212421434000 is an apocalyptic number.

12421434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421434000 is an abundant number, since it is smaller than the sum of its proper divisors (27625288560).

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

12421434000 is a wasteful number, since it uses less digits than its factorization.

12421434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070265 (or 2070249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12421434000 its reverse (43412421), we get a palindrome (12464846421).

The spelling of 12421434000 in words is "twelve billion, four hundred twenty-one million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 2070239 4140478 6210717 8280956 10351195 12421434 16561912 20702390 24842868 31053585 33123824 41404780 49685736 51755975 62107170 82809560 99371472 103511950 124214340 155267925 165619120 207023900 248428680 258779875 310535850 414047800 496857360 517559750 621071700 776339625 828095600 1035119500 1242143400 1552679250 2070239000 2484286800 3105358500 4140478000 6210717000 12421434000