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12000310421440 = 265117148016607
BaseRepresentation
bin1010111010100000101000…
…1111010110011111000000
31120111012220021012010221211
42232220022033112133000
53033103113431441230
641304511055255504
72345664610365205
oct256501217263700
946435807163854
1012000310421440
113907337427050
1214198a781a594
13690816ac9003
142d6b64d05cac
1515c2502dc42a
hexaea0a3d67c0

12000310421440 has 112 divisors (see below), whose sum is σ = 31612598175744. Its totient is φ = 4302287897600.

The previous prime is 12000310421431. The next prime is 12000310421447. The reversal of 12000310421440 is 4412401300021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000310421447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23758384 + ... + 24258223.

Almost surely, 212000310421440 is an apocalyptic number.

12000310421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000310421440 is an abundant number, since it is smaller than the sum of its proper divisors (19612287754304).

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

12000310421440 is a wasteful number, since it uses less digits than its factorization.

12000310421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48016706 (or 48016696 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12000310421440 its reverse (4412401300021), we get a palindrome (16412711721461).

The spelling of 12000310421440 in words is "twelve trillion, three hundred ten million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 142 160 176 220 284 320 352 355 440 568 704 710 781 880 1136 1420 1562 1760 2272 2840 3124 3520 3905 4544 5680 6248 7810 11360 12496 15620 22720 24992 31240 49984 62480 124960 249920 48016607 96033214 192066428 240083035 384132856 480166070 528182677 768265712 960332140 1056365354 1536531424 1920664280 2112730708 2640913385 3073062848 3409179097 3841328560 4225461416 5281826770 6818358194 7682657120 8450922832 10563653540 13636716388 15365314240 16901845664 17045895485 21127307080 27273432776 33803691328 34091790970 37500970067 42254614160 54546865552 68183581940 75001940134 84509228320 109093731104 136367163880 150003880268 169018456640 187504850335 218187462208 272734327760 300007760536 375009700670 545468655520 600015521072 750019401340 1090937311040 1200031042144 1500038802680 2400062084288 3000077605360 6000155210720 12000310421440