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221202122001220 = 22531367972146093
BaseRepresentation
bin110010010010111010100001…
…111001111100101101000100
31002000012201100012201111122101
4302102322201321330231010
5212443133421213014340
62102242504010041444
764410216535632103
oct6222724171745504
91060181305644571
10221202122001220
1164533325162398
1220986553119284
13965736967c729
143c8a35014203a
151a88e95071c9a
hexc92ea1e7cb44

221202122001220 has 48 divisors (see below), whose sum is σ = 480815680923648. Its totient is φ = 85393312721280.

The previous prime is 221202122001139. The next prime is 221202122001253. The reversal of 221202122001220 is 22100221202122.

221202122001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 485845507 + ... + 486300586.

It is an arithmetic number, because the mean of its divisors is an integer number (10016993352576).

Almost surely, 2221202122001220 is an apocalyptic number.

221202122001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202122001220 is an abundant number, since it is smaller than the sum of its proper divisors (259613558922428).

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

221202122001220 is a wasteful number, since it uses less digits than its factorization.

221202122001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972146500 (or 972146498 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221202122001220 its reverse (22100221202122), we get a palindrome (243302343203342).

The spelling of 221202122001220 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 367 620 734 1468 1835 3670 7340 11377 22754 45508 56885 113770 227540 972146093 1944292186 3888584372 4860730465 9721460930 19442921860 30136528883 60273057766 120546115532 150682644415 301365288830 356777616131 602730577660 713555232262 1427110464524 1783888080655 3567776161310 7135552322620 11060106100061 22120212200122 44240424400244 55300530500305 110601061000610 221202122001220