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12212515434240 = 2832511472050511
BaseRepresentation
bin1011000110110111001010…
…1001001110111100000000
31121020111122012100201111100
42301231302221032330000
53100042212422343430
641550204021214400
72400216342262002
oct261556251167400
947214565321440
1012212515434240
113989331645a90
121452a4a861400
136a78348a0844
14303135d30372
15162a1eecb960
hexb1b72a4ef00

12212515434240 has 432 divisors, whose sum is σ = 47076081002496. Its totient is φ = 2897616691200.

The previous prime is 12212515434221. The next prime is 12212515434241. The reversal of 12212515434240 is 4243451521221.

12212515434240 is a `hidden beast` number, since 1 + 2 + 2 + 125 + 154 + 342 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12212515434195 and 12212515434204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212515434241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4930585 + ... + 6981095.

It is an arithmetic number, because the mean of its divisors is an integer number (108972409728).

Almost surely, 212212515434240 is an apocalyptic number.

12212515434240 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 12212515434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538040501248).

12212515434240 is an abundant number, since it is smaller than the sum of its proper divisors (34863565568256).

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

12212515434240 is a wasteful number, since it uses less digits than its factorization.

12212515434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050596 (or 2050579 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 12212515434240 its reverse (4243451521221), we get a palindrome (16455966955461).

The spelling of 12212515434240 in words is "twelve trillion, two hundred twelve billion, five hundred fifteen million, four hundred thirty-four thousand, two hundred forty".