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12012242000 = 245311618951
BaseRepresentation
bin10110010111111110…
…00100010001010000
31011000011011010012212
423023333010101100
5144100113221000
65303544011252
7603450241463
oct131377042120
934004133185
1012012242000
115104663230
1223b2a60b28
13119585ca05
1481d4c72da
154a488cc35
hex2cbfc4450

12012242000 has 160 divisors (see below), whose sum is σ = 32209152768. Its totient is φ = 4296000000.

The previous prime is 12012241903. The next prime is 12012242069. The reversal of 12012242000 is 24221021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337525 + ... + 1346475.

Almost surely, 212012242000 is an apocalyptic number.

12012242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104576384).

12012242000 is an abundant number, since it is smaller than the sum of its proper divisors (20196910768).

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

12012242000 is a wasteful number, since it uses less digits than its factorization.

12012242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9046 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12012242000 its reverse (24221021), we get a palindrome (12036463021).

The spelling of 12012242000 in words is "twelve billion, twelve million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 125 176 200 220 244 250 275 305 400 440 488 500 550 610 671 880 976 1000 1100 1220 1342 1375 1525 2000 2200 2440 2684 2750 3050 3355 4400 4880 5368 5500 6100 6710 7625 8951 10736 11000 12200 13420 15250 16775 17902 22000 24400 26840 30500 33550 35804 44755 53680 61000 67100 71608 83875 89510 98461 122000 134200 143216 167750 179020 196922 223775 268400 335500 358040 393844 447550 492305 546011 671000 716080 787688 895100 984610 1092022 1118875 1342000 1575376 1790200 1969220 2184044 2237750 2461525 2730055 3580400 3938440 4368088 4475500 4923050 5460110 6006121 7876880 8736176 8951000 9846100 10920220 12012242 12307625 13650275 17902000 19692200 21840440 24024484 24615250 27300550 30030605 39384400 43680880 48048968 49230500 54601100 60061210 68251375 96097936 98461000 109202200 120122420 136502750 150153025 196922000 218404400 240244840 273005500 300306050 480489680 546011000 600612100 750765125 1092022000 1201224200 1501530250 2402448400 3003060500 6006121000 12012242000