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12152225000000 = 26583131553
BaseRepresentation
bin1011000011010110100100…
…0011011110101001000000
31121000202000110021022212102
42300311221003132221000
53043100224100000000
641502353300045532
72362653315115151
oct260655103365100
947022013238772
1012152225000000
113965803228428
1214432236938a8
136a1c46c14897
14300256a77928
151611920093d5
hexb0d690dea40

12152225000000 has 252 divisors, whose sum is σ = 30258974741772. Its totient is φ = 4842240000000.

The previous prime is 12152224999931. The next prime is 12152225000011. The reversal of 12152225000000 is 52225121.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1551678800896 + 10600546199104 = 1245664^2 + 3255848^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7824999224 + ... + 7825000776.

Almost surely, 212152225000000 is an apocalyptic number.

12152225000000 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 12152225000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15129487370886).

12152225000000 is an abundant number, since it is smaller than the sum of its proper divisors (18106749741772).

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

12152225000000 is an frugal number, since it uses more digits than its factorization.

12152225000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 12152225000000 its reverse (52225121), we get a palindrome (12152277225121).

The spelling of 12152225000000 in words is "twelve trillion, one hundred fifty-two billion, two hundred twenty-five million", and thus it is an aban number.