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12210221200122 = 2321123199121711071
BaseRepresentation
bin1011000110101110100111…
…1001011011001011111010
31121020021201022100112221100
42301223221321123023322
53100023013111400442
641545144223552230
72400105443513541
oct261535171331372
947207638315840
1012210221200122
113988364602a30
12145250a45b676
136a755a496c6a
14302d99363158
1516293889884c
hexb1ae9e5b2fa

12210221200122 has 192 divisors, whose sum is σ = 30294267494400. Its totient is φ = 3518198323200.

The previous prime is 12210221200117. The next prime is 12210221200153. The reversal of 12210221200122 is 22100212201221.

It is a happy number.

12210221200122 is a `hidden beast` number, since 1 + 221 + 0 + 221 + 200 + 1 + 22 = 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 = 12210221200095 and 12210221200104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1102895847 + ... + 1102906917.

It is an arithmetic number, because the mean of its divisors is an integer number (157782643200).

Almost surely, 212210221200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210221200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147133747200).

12210221200122 is an abundant number, since it is smaller than the sum of its proper divisors (18084046294278).

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

12210221200122 is a wasteful number, since it uses less digits than its factorization.

12210221200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529 (or 12526 counting only the distinct ones).

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

Adding to 12210221200122 its reverse (22100212201221), we get a palindrome (34310433401343).

The spelling of 12210221200122 in words is "twelve trillion, two hundred ten billion, two hundred twenty-one million, two hundred thousand, one hundred twenty-two".