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12221212101120 = 2932511371303279
BaseRepresentation
bin1011000111010111100100…
…0000011000101000000000
31121021100002021200011200200
42301311321000120220000
53100213020244213440
641554203005045200
72400645012601641
oct261657100305000
947240067604620
1012221212101120
113991a94696590
121454677256800
136a85bc556b89
1430371cd456c8
15162d7d73bc30
hexb1d79018a00

12221212101120 has 480 divisors, whose sum is σ = 47421229489920. Its totient is φ = 2882642411520.

The previous prime is 12221212101101. The next prime is 12221212101167. The reversal of 12221212101120 is 2110121212221.

12221212101120 is a `hidden beast` number, since 1 + 222 + 121 + 210 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 12221212101093 and 12221212101102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8725641 + ... + 10028919.

It is an arithmetic number, because the mean of its divisors is an integer number (98794228104).

Almost surely, 212221212101120 is an apocalyptic number.

12221212101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710614744960).

12221212101120 is an abundant number, since it is smaller than the sum of its proper divisors (35200017388800).

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

12221212101120 is a wasteful number, since it uses less digits than its factorization.

12221212101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303356 (or 1303337 counting only the distinct ones).

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

Adding to 12221212101120 its reverse (2110121212221), we get a palindrome (14331333313341).

It can be divided in two parts, 12221212101 and 120, that added together give a palindrome (12221212221).

The spelling of 12221212101120 in words is "twelve trillion, two hundred twenty-one billion, two hundred twelve million, one hundred one thousand, one hundred twenty".