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2112022002120 = 2335177211143573
BaseRepresentation
bin11110101110111110010…
…100100011100111001000
321110220111110000011210120
4132232332110203213020
5234100410113031440
64254125521143240
7305405605545312
oct36567624434710
97426443004716
102112022002120
117447813a6028
122a13a7a8ab20
13124216940124
14743184187b2
1539e12881dd0
hex1ebbe5239c8

2112022002120 has 128 divisors (see below), whose sum is σ = 6709752858240. Its totient is φ = 529998909440.

The previous prime is 2112022002109. The next prime is 2112022002149. The reversal of 2112022002120 is 212002202112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112022002120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14638654 + ... + 14782226.

It is an arithmetic number, because the mean of its divisors is an integer number (52419944205).

Almost surely, 22112022002120 is an apocalyptic number.

2112022002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112022002120 is an abundant number, since it is smaller than the sum of its proper divisors (4597730856120).

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

2112022002120 is a wasteful number, since it uses less digits than its factorization.

2112022002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150815 (or 150811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2112022002120 its reverse (212002202112), we get a palindrome (2324024204232).

The spelling of 2112022002120 in words is "two trillion, one hundred twelve billion, twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 7211 14422 21633 28844 36055 43266 57688 72110 86532 108165 122587 143573 144220 173064 216330 245174 287146 288440 367761 430719 432660 490348 574292 612935 717865 735522 861438 865320 980696 1148584 1225870 1435730 1471044 1722876 1838805 2153595 2440741 2451740 2871460 2942088 3445752 3677610 4307190 4881482 4903480 5742920 7322223 7355220 8614380 9762964 12203705 14644446 14710440 17228760 19525928 24407410 29288892 36611115 48814820 58577784 73222230 97629640 146444460 292888920 1035304903 2070609806 3105914709 4141219612 5176524515 6211829418 8282439224 10353049030 12423658836 15529573545 17600183351 20706098060 24847317672 31059147090 35200366702 41412196120 52800550053 62118294180 70400733404 88000916755 105601100106 124236588360 140801466808 176001833510 211202200212 264002750265 352003667020 422404400424 528005500530 704007334040 1056011001060 2112022002120