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120111202112 = 2611718112963
BaseRepresentation
bin110111111011100101…
…1110111111101000000
3102111000202102021010012
41233313023313331000
53431441431431422
6131102303524052
711451316241546
oct1576713677500
9374022367105
10120111202112
1146a367079a0
121b340bb9628
13b432250935
145b56011d96
1531ceb1e4e2
hex1bf72f7f40

120111202112 has 112 divisors (see below), whose sum is σ = 264089839104. Its totient is φ = 53742528000.

The previous prime is 120111202063. The next prime is 120111202151. The reversal of 120111202112 is 211202111021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40535543 + ... + 40538505.

It is an arithmetic number, because the mean of its divisors is an integer number (2357944992).

Almost surely, 2120111202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120111202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132044919552).

120111202112 is an abundant number, since it is smaller than the sum of its proper divisors (143978636992).

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

120111202112 is a wasteful number, since it uses less digits than its factorization.

120111202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120111202112 its reverse (211202111021), we get a palindrome (331313313133).

It can be divided in two parts, 120111 and 202112, that added together give a palindrome (322223).

The spelling of 120111202112 in words is "one hundred twenty billion, one hundred eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 568 704 781 811 1136 1562 1622 2272 2963 3124 3244 4544 5926 6248 6488 8921 11852 12496 12976 17842 23704 24992 25952 32593 35684 47408 49984 51904 57581 65186 71368 94816 115162 130372 142736 189632 210373 230324 260744 285472 420746 460648 521488 570944 633391 841492 921296 1042976 1266782 1682984 1842592 2085952 2314103 2402993 2533564 3365968 3685184 4628206 4805986 5067128 6731936 9256412 9611972 10134256 13463872 18512824 19223944 20268512 26432923 37025648 38447888 40537024 52865846 74051296 76895776 105731692 148102592 153791552 170612503 211463384 341225006 422926768 682450012 845853536 1364900024 1691707072 1876737533 2729800048 3753475066 5459600096 7506950132 10919200192 15013900264 30027800528 60055601056 120111202112