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1120000012000 = 25532549109847
BaseRepresentation
bin10000010011000101001…
…100111110111011100000
310222001220201121122102221
4100103011030332323200
5121322230000341000
62214304303120424
7143626434011302
oct20230514767340
93861821548387
101120000012000
113a1a97899031
121610918a3114
13818004884bc
143c2cb793972
151e20172061a
hex104c533eee0

1120000012000 has 96 divisors (see below), whose sum is σ = 2752944667200. Its totient is φ = 447820172800.

The previous prime is 1120000011989. The next prime is 1120000012081. The reversal of 1120000012000 is 2100000211.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10141077 + ... + 10250923.

It is an arithmetic number, because the mean of its divisors is an integer number (28676506950).

Almost surely, 21120000012000 is an apocalyptic number.

1120000012000 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 1120000012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376472333600).

1120000012000 is an abundant number, since it is smaller than the sum of its proper divisors (1632944655200).

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

1120000012000 is a wasteful number, since it uses less digits than its factorization.

1120000012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112421 (or 112403 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1120000012000 its reverse (2100000211), we get a palindrome (1122100012211).

The spelling of 1120000012000 in words is "one trillion, one hundred twenty billion, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2549 4000 5098 10196 12745 20392 25490 40784 50980 63725 81568 101960 109847 127450 203920 219694 254900 318625 407840 439388 509800 549235 637250 878776 1019600 1098470 1274500 1757552 2039200 2196940 2549000 2746175 3515104 4393880 5098000 5492350 8787760 10196000 10984700 13730875 17575520 21969400 27461750 43938800 54923500 87877600 109847000 219694000 280000003 439388000 560000006 1120000012 1400000015 2240000024 2800000030 4480000048 5600000060 7000000075 8960000096 11200000120 14000000150 22400000240 28000000300 35000000375 44800000480 56000000600 70000000750 112000001200 140000001500 224000002400 280000003000 560000006000 1120000012000