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12215193338880 = 2103257172324211
BaseRepresentation
bin1011000111000001001001…
…0000101000010000000000
31121020202112211022101001200
42301300102100220100000
53100113203443321010
641551325442101200
72400342610141110
oct261602220502000
947222484271050
1012215193338880
11398a486210414
12145347764a800
136a7b7061c1bc
1430330b851040
15162b2a149cc0
hexb1c12428400

12215193338880 has 1584 divisors, whose sum is σ = 53553570505344. Its totient is φ = 2512956948480.

The previous prime is 12215193338879. The next prime is 12215193338917. The reversal of 12215193338880 is 8883339151221.

12215193338880 is a `hidden beast` number, since 1 + 2 + 2 + 151 + 9 + 33 + 388 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2900779975 + ... + 2900784185.

Almost surely, 212215193338880 is an apocalyptic number.

12215193338880 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 12215193338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26776785252672).

12215193338880 is an abundant number, since it is smaller than the sum of its proper divisors (41338377166464).

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

12215193338880 is a wasteful number, since it uses less digits than its factorization.

12215193338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12215193338880 in words is "twelve trillion, two hundred fifteen billion, one hundred ninety-three million, three hundred thirty-eight thousand, eight hundred eighty".