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12011010302000 = 245319334998893
BaseRepresentation
bin1010111011001000100000…
…0000001010000000110000
31120112020111221220101201102
42232302020000022000300
53033242022114131000
641313440523023532
72346524014023233
oct256621000120060
946466457811642
1012011010302000
113910928209746
12141b99306aba8
136918307b3398
142d749bdb141a
1515c6798473d5
hexaec8800a030

12011010302000 has 160 divisors (see below), whose sum is σ = 29204729736000. Its totient is φ = 4777607577600.

The previous prime is 12011010301951. The next prime is 12011010302009. The reversal of 12011010302000 is 20301011021.

It is not an unprimeable number, because it can be changed into a prime (12011010302009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350609554 + ... + 1350618446.

It is an arithmetic number, because the mean of its divisors is an integer number (182529560850).

Almost surely, 212011010302000 is an apocalyptic number.

12011010302000 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 12011010302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602364868000).

12011010302000 is an abundant number, since it is smaller than the sum of its proper divisors (17193719434000).

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

12011010302000 is a wasteful number, since it uses less digits than its factorization.

12011010302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12608 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12011010302000 its reverse (20301011021), we get a palindrome (12031311313021).

The spelling of 12011010302000 in words is "twelve trillion, eleven billion, ten million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 772 965 1000 1544 1930 2000 3088 3499 3860 4825 6998 7720 8893 9650 13996 15440 17495 17786 19300 24125 27992 34990 35572 38600 44465 48250 55984 69980 71144 77200 87475 88930 96500 139960 142288 174950 177860 193000 222325 279920 349900 355720 386000 437375 444650 675307 699800 711440 874750 889300 1111625 1350614 1399600 1716349 1749500 1778600 2223250 2701228 3376535 3432698 3499000 3557200 4446500 5402456 6753070 6865396 6998000 8581745 8893000 10804912 13506140 13730792 16882675 17163490 17786000 27012280 27461584 31116607 33765350 34326980 42908725 54024560 62233214 67530700 68653960 84413375 85817450 124466428 135061400 137307920 155583035 168826750 171634900 214543625 248932856 270122800 311166070 337653500 343269800 429087250 497865712 622332140 675307000 686539600 777915175 858174500 1244664280 1350614000 1555830350 1716349000 2489328560 3111660700 3432698000 3889575875 6005505151 6223321400 7779151750 12011010302 12446642800 15558303500 24022020604 30027525755 31116607000 48044041208 60055051510 62233214000 96088082416 120110103020 150137628775 240220206040 300275257550 480440412080 600550515100 750688143875 1201101030200 1501376287750 2402202060400 3002752575500 6005505151000 12011010302000