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221200001122120 = 2355530000028053
BaseRepresentation
bin110010010010111000100011…
…011111011011111101001000
31002000012111212101220200110121
4302102320203133123331020
5212443120100241401440
62102241513324153024
764410113143515106
oct6222704337337510
91060174771820417
10221200001122120
1164532436a63549
1220986060998774
1396570bc161297
143c8a1cc5bcc76
151a88dbdc8334a
hexc92e237dbf48

221200001122120 has 16 divisors (see below), whose sum is σ = 497700002524860. Its totient is φ = 88480000448832.

The previous prime is 221200001122103. The next prime is 221200001122157. The reversal of 221200001122120 is 21221100002122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 220976727861796 + 223273260324 = 14865286^2 + 472518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221200001122094 and 221200001122103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2765000013987 + ... + 2765000014066.

Almost surely, 2221200001122120 is an apocalyptic number.

221200001122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200001122120 is an abundant number, since it is smaller than the sum of its proper divisors (276500001402740).

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

221200001122120 is a wasteful number, since it uses less digits than its factorization.

221200001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530000028064 (or 5530000028060 counting only the distinct ones).

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

Adding to 221200001122120 its reverse (21221100002122), we get a palindrome (242421101124242).

The spelling of 221200001122120 in words is "two hundred twenty-one trillion, two hundred billion, one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5530000028053 11060000056106 22120000112212 27650000140265 44240000224424 55300000280530 110600000561060 221200001122120