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12222121010112 = 26321319293449653
BaseRepresentation
bin1011000111011010111100…
…1011100110001111000000
31121021102102121221112102200
42301312233023212033000
53100221400434310422
641554433114113200
72401006360314246
oct261665713461700
947242377845380
1012222121010112
113992410753342
12145488b71b800
136a870594c650
143037a7940796
15162dd34282ac
hexb1daf2e63c0

12222121010112 has 672 divisors, whose sum is σ = 39998407176000. Its totient is φ = 3537231151104.

The previous prime is 12222121010063. The next prime is 12222121010161. The reversal of 12222121010112 is 21101012122221.

12222121010112 is a `hidden beast` number, since 122 + 221 + 210 + 1 + 0 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (12222121010063) and next prime (12222121010161).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18716877178 + ... + 18716877830.

It is an arithmetic number, because the mean of its divisors is an integer number (59521439250).

Almost surely, 212222121010112 is an apocalyptic number.

12222121010112 is a gapful number since it is divisible by the number (12) 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 12222121010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19999203588000).

12222121010112 is an abundant number, since it is smaller than the sum of its proper divisors (27776286165888).

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

12222121010112 is a wasteful number, since it uses less digits than its factorization.

12222121010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1432 counting only the distinct ones).

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

Adding to 12222121010112 its reverse (21101012122221), we get a palindrome (33323133132333).

The spelling of 12222121010112 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty-one million, ten thousand, one hundred twelve".