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2120000022220 = 2251723928339209
BaseRepresentation
bin11110110110011001110…
…110010010011011001100
321111200002110001120221111
4132312121312102123030
5234213230001202340
64301525313541404
7306110401602163
oct36663166223314
97450073046844
102120000022220
117480a5820673
122a2a53874864
13124bb8758892
1474873c003da
153a22ce89aea
hex1ed99d926cc

2120000022220 has 96 divisors (see below), whose sum is σ = 4735790841600. Its totient is φ = 794411433984.

The previous prime is 2120000022209. The next prime is 2120000022233. The reversal of 2120000022220 is 222200000212.

2120000022220 is a modest number, since divided by 22220 gives 21200 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2120000022220.

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, 230204976 + ... + 230214184.

It is an arithmetic number, because the mean of its divisors is an integer number (49331154600).

Almost surely, 22120000022220 is an apocalyptic number.

2120000022220 is a gapful number since it is divisible by the number (20) 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 2120000022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367895420800).

2120000022220 is an abundant number, since it is smaller than the sum of its proper divisors (2615790819380).

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

2120000022220 is a wasteful number, since it uses less digits than its factorization.

2120000022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12307 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2120000022220 its reverse (222200000212), we get a palindrome (2342200022432).

The spelling of 2120000022220 in words is "two trillion, one hundred twenty billion, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 239 340 478 956 1195 2390 2833 4063 4780 5666 8126 9209 11332 14165 16252 18418 20315 28330 36836 40630 46045 48161 56660 81260 92090 96322 156553 184180 192644 240805 313106 481610 626212 677087 782765 963220 1354174 1565530 2200951 2708348 3131060 3385435 4401902 6770870 8803804 11004755 11510479 13541740 22009510 23020958 26089097 37416167 44019020 46041916 52178194 57552395 74832334 104356388 115104790 130445485 149664668 187080835 230209580 260890970 374161670 443514649 521781940 748323340 887029298 1774058596 2217573245 4435146490 6235294183 8870292980 12470588366 24941176732 31176470915 62352941830 106000001111 124705883660 212000002222 424000004444 530000005555 1060000011110 2120000022220