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12222111209952 = 2537292140729297
BaseRepresentation
bin1011000111011010111010…
…0110001101100111100000
31121021102101221111122010210
42301312232212031213200
53100221340432204302
641554432124054120
72401006211106330
oct261665646154740
947242357448123
1012222111209952
11399240616a336
121454888394340
136a87038caa37
143037a650d0c0
15162dd263e66c
hexb1dae98d9e0

12222111209952 has 192 divisors, whose sum is σ = 37933756600320. Its totient is φ = 3371344306176.

The previous prime is 12222111209887. The next prime is 12222111209953. The reversal of 12222111209952 is 25990211122221.

It is a self number, because there is not a number n which added to its sum of digits gives 12222111209952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222111209953) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 417164968 + ... + 417194264.

It is an arithmetic number, because the mean of its divisors is an integer number (197571648960).

Almost surely, 212222111209952 is an apocalyptic number.

12222111209952 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 12222111209952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966878300160).

12222111209952 is an abundant number, since it is smaller than the sum of its proper divisors (25711645390368).

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

12222111209952 is a wasteful number, since it uses less digits than its factorization.

12222111209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50753 (or 50745 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 12222111209952 in words is "twelve trillion, two hundred twenty-two billion, one hundred eleven million, two hundred nine thousand, nine hundred fifty-two".