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16112122102120 = 23511176732149657
BaseRepresentation
bin1110101001110110010101…
…0100001000000101101000
32010001022012111021201221111
43222131211110020011220
54102440111224231440
654133450125520104
73252030256115542
oct352354524100550
963038174251844
1016112122102120
115152126980290
121982779113034
138cb49c541235
143d9b8bca2692
151ce1a74544ea
hexea765508168

16112122102120 has 128 divisors (see below), whose sum is σ = 42499275903360. Its totient is φ = 5432005877760.

The previous prime is 16112122102081. The next prime is 16112122102177. The reversal of 16112122102120 is 2120122121161.

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

It is a junction number, because it is equal to n+sod(n) for n = 16112122102091 and 16112122102100.

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 31 ways as a sum of consecutive naturals, for example, 15573669 + ... + 16575988.

It is an arithmetic number, because the mean of its divisors is an integer number (332025592995).

Almost surely, 216112122102120 is an apocalyptic number.

16112122102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16112122102120 is an abundant number, since it is smaller than the sum of its proper divisors (26387153801240).

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

16112122102120 is a wasteful number, since it uses less digits than its factorization.

16112122102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32149763 (or 32149759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 16112122102120 its reverse (2120122121161), we get a palindrome (18232244223281).

The spelling of 16112122102120 in words is "sixteen trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 67 68 85 88 110 134 136 170 187 220 268 335 340 374 440 536 670 680 737 748 935 1139 1340 1474 1496 1870 2278 2680 2948 3685 3740 4556 5695 5896 7370 7480 9112 11390 12529 14740 22780 25058 29480 45560 50116 62645 100232 125290 250580 501160 32149657 64299314 128598628 160748285 257197256 321496570 353646227 546544169 642993140 707292454 1093088338 1285986280 1414584908 1768231135 2154027019 2186176676 2732720845 2829169816 3536462270 4308054038 4372353352 5465441690 6011985859 7072924540 8616108076 10770135095 10930883380 12023971718 14145849080 17232216152 21540270190 21861766760 23694297209 24047943436 30059929295 36618459323 43080540380 47388594418 48095886872 60119858590 73236918646 86161080760 94777188836 118471486045 120239717180 146473837292 183092296615 189554377672 236942972090 240479434360 292947674584 366184593230 402803052553 473885944180 732369186460 805606105106 947771888360 1464738372920 1611212210212 2014015262765 3222424420424 4028030525530 8056061051060 16112122102120