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2112000120 = 2332513274421
BaseRepresentation
bin111110111100010…
…1001000001111000
312110012002201111200
41331320221001320
513311133000440
6545323254200
7103223463516
oct17570510170
95405081450
102112000120
11994194a4a
124ab37a360
1327872cc19
141606d14b6
15c5637c30
hex7de29078

2112000120 has 96 divisors (see below), whose sum is σ = 6870726720. Its totient is φ = 562648320.

The previous prime is 2112000113. The next prime is 2112000179. The reversal of 2112000120 is 210002112.

2112000120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475510 + ... + 479930.

It is an arithmetic number, because the mean of its divisors is an integer number (71570070).

Almost surely, 22112000120 is an apocalyptic number.

2112000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112000120 is an abundant number, since it is smaller than the sum of its proper divisors (4758726600).

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

2112000120 is a wasteful number, since it uses less digits than its factorization.

2112000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2112000120 is about 45956.5024778866. The cubic root of 2112000120 is about 1283.0137562978.

Adding to 2112000120 its reverse (210002112), we get a palindrome (2322002232).

The spelling of 2112000120 in words is "two billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1327 2654 3981 4421 5308 6635 7962 8842 10616 11943 13263 13270 15924 17684 19905 22105 23886 26526 26540 31848 35368 39789 39810 44210 47772 53052 53080 59715 66315 79578 79620 88420 95544 106104 119430 132630 159156 159240 176840 198945 238860 265260 318312 397890 477720 530520 795780 1591560 5866667 11733334 17600001 23466668 29333335 35200002 46933336 52800003 58666670 70400004 88000005 105600006 117333340 140800008 176000010 211200012 234666680 264000015 352000020 422400024 528000030 704000040 1056000060 2112000120