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12222001101198 = 23722310322378691
BaseRepresentation
bin1011000111011010100000…
…0010001011100110001110
31121021102010021022112022210
42301312220002023212032
53100221124240214243
641554413152051250
72401003403152500
oct261665002134616
947242107275283
1012222001101198
113992359aa3a69
121454857533b26
136a86b6b58025
14303795a49d70
15162dc7b3e933
hexb1da808b98e

12222001101198 has 192 divisors, whose sum is σ = 30093956186112. Its totient is φ = 3292870553280.

The previous prime is 12222001101197. The next prime is 12222001101269. The reversal of 12222001101198 is 89110110022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222001101197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155277033 + ... + 155355723.

It is an arithmetic number, because the mean of its divisors is an integer number (156739355136).

Almost surely, 212222001101198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222001101198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046978093056).

12222001101198 is an abundant number, since it is smaller than the sum of its proper divisors (17871955084914).

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

12222001101198 is a wasteful number, since it uses less digits than its factorization.

12222001101198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79059 (or 79052 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 12222001101198 in words is "twelve trillion, two hundred twenty-two billion, one million, one hundred one thousand, one hundred ninety-eight".