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122122021221331 = 10871040471079779
BaseRepresentation
bin11011110001000110111111…
…101100011011001111010011
3121000101202021122002011211021
4123301012333230123033103
5112001321344413040311
61111422025420100311
734503011350023205
oct3361067754331723
9530352248064737
10122122021221331
1135a037272a066a
1211844095994697
13531b098842a51
142222a47486775
15e1ba19c8e171
hex6f11bfb1b3d3

122122021221331 has 8 divisors (see below), whose sum is σ = 122235656990720. Its totient is φ = 122008387821768.

The previous prime is 122122021221323. The next prime is 122122021221341. The reversal of 122122021221331 is 133122120221221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122122021221331 - 23 = 122122021221323 is a prime.

It is a super-2 number, since 2×1221220212213312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122122021221296 and 122122021221305.

It is not an unprimeable number, because it can be changed into a prime (122122021221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112559200 + ... + 113638978.

It is an arithmetic number, because the mean of its divisors is an integer number (15279457123840).

Almost surely, 2122122021221331 is an apocalyptic number.

122122021221331 is a deficient number, since it is larger than the sum of its proper divisors (113635769389).

122122021221331 is a wasteful number, since it uses less digits than its factorization.

122122021221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184913.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 122122021221331 its reverse (133122120221221), we get a palindrome (255244141442552).

The spelling of 122122021221331 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-one million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 1087 104047 1079779 113099089 1173719773 112347765613 122122021221331