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1225250000000 = 275913229
BaseRepresentation
bin10001110101000110100…
…101110100110010000000
311100010120210001000022122
4101311012211310302000
5130033303000000000
62334512211423412
7154343560106255
oct21650645646200
94303523030278
101225250000000
11432697756894
121795658b4b68
138b704863900
1443433b8b42c
1521d117e2085
hex11d46974c80

1225250000000 has 480 divisors, whose sum is σ = 3417846329700. Its totient is φ = 436800000000.

The previous prime is 1225249999999. The next prime is 1225250000047. The reversal of 1225250000000 is 525221.

It can be written as a sum of positive squares in 30 ways, for example, as 64528192576 + 1160721807424 = 254024^2 + 1077368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42249999986 + ... + 42250000014.

Almost surely, 21225250000000 is an apocalyptic number.

1225250000000 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 1225250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708923164850).

1225250000000 is an abundant number, since it is smaller than the sum of its proper divisors (2192596329700).

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

1225250000000 is an frugal number, since it uses more digits than its factorization.

1225250000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Adding to 1225250000000 its reverse (525221), we get a palindrome (1225250525221).

The spelling of 1225250000000 in words is "one trillion, two hundred twenty-five billion, two hundred fifty million", and thus it is an aban number.