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201222010021120 = 2851114291335939
BaseRepresentation
bin101101110000001010100110…
…011011011010010100000000
3222101110122011212002002102021
4231300022212123122110000
5202333310134031133440
61551544040521131224
760245544664154404
oct5560124633322400
9871418155062367
10201222010021120
115912a8588a0040
121a69a210029b14
1388382007c6c0a
1437992a937b104
15183e3a61d784a
hexb702a66da500

201222010021120 has 72 divisors (see below), whose sum is σ = 525806831904480. Its totient is φ = 73171640002560.

The previous prime is 201222010021111. The next prime is 201222010021121. The reversal of 201222010021120 is 21120010222102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201222010021094 and 201222010021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222010021121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7145653890 + ... + 7145682049.

It is an arithmetic number, because the mean of its divisors is an integer number (7302872665340).

Almost surely, 2201222010021120 is an apocalyptic number.

201222010021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222010021120 is an abundant number, since it is smaller than the sum of its proper divisors (324584821883360).

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

201222010021120 is a wasteful number, since it uses less digits than its factorization.

201222010021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14291335971 (or 14291335957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201222010021120 its reverse (21120010222102), we get a palindrome (222342020243222).

The spelling of 201222010021120 in words is "two hundred one trillion, two hundred twenty-two billion, ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 14291335939 28582671878 57165343756 71456679695 114330687512 142913359390 157204695329 228661375024 285826718780 314409390658 457322750048 571653437560 628818781316 786023476645 914645500096 1143306875120 1257637562632 1572046953290 1829291000192 2286613750240 2515275125264 3144093906580 3658582000384 4573227500480 5030550250528 6288187813160 9146455000960 10061100501056 12576375626320 18292910001920 20122201002112 25152751252640 40244402004224 50305502505280 100611005010560 201222010021120