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21222121201220 = 22517373316720601
BaseRepresentation
bin1001101001101001010001…
…11111101101111001000100
32210010211000010010001221002
410310310220333231321010
510240200401011414340
6113045150300512432
74320150642566642
oct464645077557104
983124003101832
1021222121201220
116842284182005
122468ba554b718
13bac311878304
14535228676192
1526c081b41715
hex134d28fede44

21222121201220 has 48 divisors (see below), whose sum is σ = 47200654268208. Its totient is φ = 7987363737600.

The previous prime is 21222121201219. The next prime is 21222121201243. The reversal of 21222121201220 is 2210212122212.

It can be written as a sum of positive squares in 8 ways, for example, as 1382562078976 + 19839559122244 = 1175824^2 + 4454162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21222121201192 and 21222121201201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7091081 + ... + 9629520.

It is an arithmetic number, because the mean of its divisors is an integer number (983346963921).

Almost surely, 221222121201220 is an apocalyptic number.

21222121201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222121201220 is an abundant number, since it is smaller than the sum of its proper divisors (25978533066988).

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

21222121201220 is a wasteful number, since it uses less digits than its factorization.

21222121201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16724360 (or 16724358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21222121201220 its reverse (2210212122212), we get a palindrome (23432333323432).

The spelling of 21222121201220 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3733 7466 14932 18665 37330 63461 74660 126922 253844 317305 634610 1269220 16720601 33441202 66882404 83603005 167206010 284250217 334412020 568500434 1137000868 1421251085 2842502170 5685004340 62418003533 124836007066 249672014132 312090017665 624180035330 1061106060061 1248360070660 2122212120122 4244424240244 5305530300305 10611060600610 21222121201220