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220122122120001 = 32127192582784007
BaseRepresentation
bin110010000011001100101100…
…111001010110101101000001
31001212101110200011102001002200
4302003030230321112231001
5212322440101230320001
62100054412404303413
764236204250254543
oct6203145471265501
91055343604361080
10220122122120001
11641572a4401692
12208311853a1b69
1395a95722c118a
143c4dd78d91693
151a6ad35362086
hexc8332ce56b41

220122122120001 has 12 divisors (see below), whose sum is σ = 320457752589312. Its totient is φ = 145592584708536.

The previous prime is 220122122119981. The next prime is 220122122120027. The reversal of 220122122120001 is 100021221221022.

It is a happy number.

220122122120001 is a `hidden beast` number, since 2 + 20 + 1 + 221 + 221 + 200 + 0 + 1 = 666.

It is not a de Polignac number, because 220122122120001 - 29 = 220122122119489 is a prime.

It is a super-2 number, since 2×2201221221200012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220122122120051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96291390861 + ... + 96291393146.

It is an arithmetic number, because the mean of its divisors is an integer number (26704812715776).

Almost surely, 2220122122120001 is an apocalyptic number.

It is an amenable number.

220122122120001 is a deficient number, since it is larger than the sum of its proper divisors (100335630469311).

220122122120001 is a wasteful number, since it uses less digits than its factorization.

220122122120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192582784140 (or 192582784137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220122122120001 its reverse (100021221221022), we get a palindrome (320143343341023).

The spelling of 220122122120001 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one".

Divisors: 1 3 9 127 381 1143 192582784007 577748352021 1733245056063 24458013568889 73374040706667 220122122120001