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210120122111020 = 22511269213198981
BaseRepresentation
bin101111110001101001100111…
…001111010001010000101100
31000112222021202120210210201121
4233301221213033101100230
5210020102002230023040
62022515503532150324
762154451335040252
oct5761514717212054
91015867676723647
10210120122111020
1160a50497125290
121b69682b9083a4
13903231c9b74b4
1439c5c223a45d2
151945a8ea58c4a
hexbf1a673d142c

210120122111020 has 72 divisors (see below), whose sum is σ = 483162251867568. Its totient is φ = 76123269292800.

The previous prime is 210120122110981. The next prime is 210120122111063. The reversal of 210120122111020 is 20111221021012.

It is a junction number, because it is equal to n+sod(n) for n = 210120122110985 and 210120122111003.

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, 9319930 + ... + 22518910.

It is an arithmetic number, because the mean of its divisors is an integer number (6710586831494).

Almost surely, 2210120122111020 is an apocalyptic number.

210120122111020 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 210120122111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241581125933784).

210120122111020 is an abundant number, since it is smaller than the sum of its proper divisors (273042129756548).

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

210120122111020 is a wasteful number, since it uses less digits than its factorization.

210120122111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13199539 (or 13199268 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210120122111020 its reverse (20111221021012), we get a palindrome (230231343132032).

The spelling of 210120122111020 in words is "two hundred ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 269 538 1076 1345 2690 2959 5380 5918 11836 14795 29590 59180 72361 144722 289444 361805 723610 795971 1447220 1591942 3183884 3979855 7959710 13198981 15919420 26397962 52795924 65994905 131989810 145188791 263979620 290377582 580755164 725943955 1451887910 2903775820 3550525889 7101051778 14202103556 17752629445 35505258890 39055784779 71010517780 78111569558 156223139116 195278923895 390557847790 781115695580 955091464141 1910182928282 3820365856564 4775457320705 9550914641410 10506006105551 19101829282820 21012012211102 42024024422204 52530030527755 105060061055510 210120122111020