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122022120012221 = 11135691611499227
BaseRepresentation
bin11011101111101001111101…
…000111100011100110111101
3121000001012102100022221012102
4123233221331013203212331
5111443202300210342341
61111304104342314445
734462543612532612
oct3357517507434675
9530035370287172
10122022120012221
1135975321700630
1211828855128a25
135311837642670
14221bc8b5c0509
15e1911e56ac9b
hex6efa7d1e39bd

122022120012221 has 16 divisors (see below), whose sum is σ = 143355005965248. Its totient is φ = 102395936419200.

The previous prime is 122022120012197. The next prime is 122022120012251. The reversal of 122022120012221 is 122210021220221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122022120012221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122022120012193 and 122022120012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022120012251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80640410 + ... + 82139636.

It is an arithmetic number, because the mean of its divisors is an integer number (8959687872828).

Almost surely, 2122022120012221 is an apocalyptic number.

122022120012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122022120012221 is a deficient number, since it is larger than the sum of its proper divisors (21332885953027).

122022120012221 is a wasteful number, since it uses less digits than its factorization.

122022120012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068412.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122022120012221 its reverse (122210021220221), we get a palindrome (244232141232442).

The spelling of 122022120012221 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred twenty million, twelve thousand, two hundred twenty-one".

Divisors: 1 11 13 143 569161 1499227 6260771 7399093 16491497 19489951 81390023 214389461 853301538547 9386316924017 11092920001111 122022120012221