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12420024322200 = 23352111881821867
BaseRepresentation
bin1011010010111100001100…
…1000110100100010011000
31121222100020211221102211020
42310233003020310202120
53111442202211302300
642225402545002440
72421213531600435
oct264570310644230
947870224842736
1012420024322200
113a59336a38910
121487101023420
136c1284770391
1430d1bd398b8c
1516811778b8a0
hexb4bc3234898

12420024322200 has 96 divisors (see below), whose sum is σ = 42002264093760. Its totient is φ = 3010914985600.

The previous prime is 12420024322183. The next prime is 12420024322207. The reversal of 12420024322200 is 222342002421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420024322207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940904334 + ... + 940917533.

It is an arithmetic number, because the mean of its divisors is an integer number (437523584310).

Almost surely, 212420024322200 is an apocalyptic number.

12420024322200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420024322200 is an abundant number, since it is smaller than the sum of its proper divisors (29582239771560).

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

12420024322200 is a wasteful number, since it uses less digits than its factorization.

12420024322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881821897 (or 1881821888 counting only the distinct ones).

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

Adding to 12420024322200 its reverse (222342002421), we get a palindrome (12642366324621).

The spelling of 12420024322200 in words is "twelve trillion, four hundred twenty billion, twenty-four million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1881821867 3763643734 5645465601 7527287468 9409109335 11290931202 15054574936 18818218670 20700040537 22581862404 28227328005 37636437340 41400081074 45163724808 47045546675 56454656010 62100121611 75272874680 82800162148 94091093350 103500202685 112909312020 124200243222 141136640025 165600324296 188182186700 207000405370 225818624040 248400486444 282273280050 310500608055 376364373400 414000810740 496800972888 517501013425 564546560100 621001216110 828001621480 1035002026850 1129093120200 1242002432220 1552503040275 2070004053700 2484004864440 3105006080550 4140008107400 6210012161100 12420024322200