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12420402240 = 263541315559
BaseRepresentation
bin10111001000101000…
…00100110001000000
31012001121011210210210
423210110010301000
5200414110332430
65412244154120
7616534451151
oct134424046100
935047153723
1012420402240
1152a3aa2044
1224a7698940
13122c29a64c
1485b7b3928
154ca6142b0
hex2e4504c40

12420402240 has 112 divisors (see below), whose sum is σ = 40396728960. Its totient is φ = 3231313920.

The previous prime is 12420402223. The next prime is 12420402259. The reversal of 12420402240 is 4220402421.

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, 118420 + ... + 197139.

It is an arithmetic number, because the mean of its divisors is an integer number (360685080).

Almost surely, 212420402240 is an apocalyptic number.

12420402240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420402240 is an abundant number, since it is smaller than the sum of its proper divisors (27976326720).

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

12420402240 is a wasteful number, since it uses less digits than its factorization.

12420402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315620 (or 315610 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 12420402240 its reverse (4220402421), we get a palindrome (16640804661).

The spelling of 12420402240 in words is "twelve billion, four hundred twenty million, four hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 315559 631118 946677 1262236 1577795 1893354 2524472 3155590 3786708 4733385 5048944 6311180 7573416 9466770 10097888 12622360 12937919 15146832 18933540 20195776 25244720 25875838 30293664 37867080 38813757 50489440 51751676 60587328 64689595 75734160 77627514 100978880 103503352 129379190 151468320 155255028 194068785 207006704 258758380 302936640 310510056 388137570 414013408 517516760 621020112 776275140 828026816 1035033520 1242040224 1552550280 2070067040 2484080448 3105100560 4140134080 6210201120 12420402240