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1242212825448 = 23357319711381
BaseRepresentation
bin10010000100111001101…
…001110111100101101000
311101202100221120211100000
4102010321221313211220
5130323022440403243
62350355323543000
7155514122541000
oct22047151674550
94352327524300
101242212825448
114399018346a1
121808ba68aa60
13901a8c3c52a
14441a2951000
15224a5ac45d3
hex12139a77968

1242212825448 has 768 divisors, whose sum is σ = 4346334720000. Its totient is φ = 331262265600.

The previous prime is 1242212825443. The next prime is 1242212825507. The reversal of 1242212825448 is 8445282122421.

1242212825448 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 21 + 2 + 82 + 544 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1242212825443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 899501718 + ... + 899503098.

It is an arithmetic number, because the mean of its divisors is an integer number (5659290000).

Almost surely, 21242212825448 is an apocalyptic number.

1242212825448 is a gapful number since it is divisible by the number (18) 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 1242212825448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173167360000).

1242212825448 is an abundant number, since it is smaller than the sum of its proper divisors (3104121894552).

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

1242212825448 is a wasteful number, since it uses less digits than its factorization.

1242212825448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1483 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

Adding to 1242212825448 its reverse (8445282122421), we get a palindrome (9687494947869).

The spelling of 1242212825448 in words is "one trillion, two hundred forty-two billion, two hundred twelve million, eight hundred twenty-five thousand, four hundred forty-eight".