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12221020111122 = 233226315187243
BaseRepresentation
bin1011000111010110110110…
…0100000000000100010010
31121021022120220102001221000
42301311231210000010102
53100212122122023442
641554131550042430
72400640161655224
oct261655544000422
947238526361830
1012221020111122
1139919a6284669
121454622aa9416
136a858b845724
1430370164a414
15162d6b965d4c
hexb1d6d900112

12221020111122 has 16 divisors (see below), whose sum is σ = 27157822469280. Its totient is φ = 4073673370356.

The previous prime is 12221020111087. The next prime is 12221020111129. The reversal of 12221020111122 is 22111102012221.

12221020111122 is a `hidden beast` number, since 122 + 210 + 201 + 11 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221020111095 and 12221020111104.

It is not an unprimeable number, because it can be changed into a prime (12221020111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113157593568 + ... + 113157593675.

It is an arithmetic number, because the mean of its divisors is an integer number (1697363904330).

Almost surely, 212221020111122 is an apocalyptic number.

12221020111122 is an abundant number, since it is smaller than the sum of its proper divisors (14936802358158).

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

12221020111122 is a wasteful number, since it uses less digits than its factorization.

12221020111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226315187254 (or 226315187248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221020111122 its reverse (22111102012221), we get a palindrome (34332122123343).

The spelling of 12221020111122 in words is "twelve trillion, two hundred twenty-one billion, twenty million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 226315187243 452630374486 678945561729 1357891123458 2036836685187 4073673370374 6110510055561 12221020111122