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222120000120221 = 7172332780016917
BaseRepresentation
bin110010100000010001010111…
…101101000110010110011101
31002010110110112201100010121022
4302200101113231012112131
5213103203230012321341
62104224304103413525
764533432445130420
oct6240212755062635
91063413481303538
10222120000120221
1164857621458645
1220ab44167542a5
1396c2a98033c78
143cbc945aa99b7
151aa2cb6dcde4b
hexca0457b4659d

222120000120221 has 16 divisors (see below), whose sum is σ = 268795391486976. Its totient is φ = 179181559931136.

The previous prime is 222120000120199. The next prime is 222120000120233. The reversal of 222120000120221 is 122021000021222.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-222120000120221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 222120000120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120000120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37232546 + ... + 42784371.

It is an arithmetic number, because the mean of its divisors is an integer number (16799711967936).

Almost surely, 2222120000120221 is an apocalyptic number.

It is an amenable number.

222120000120221 is a deficient number, since it is larger than the sum of its proper divisors (46675391366755).

222120000120221 is a wasteful number, since it uses less digits than its factorization.

222120000120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80040268.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222120000120221 its reverse (122021000021222), we get a palindrome (344141000141443).

The spelling of 222120000120221 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 17 119 23327 163289 396559 2775913 80016917 560118419 1360287589 9522013123 1866554622859 13065882360013 31731428588603 222120000120221