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12524221440 = 2103251911423
BaseRepresentation
bin10111010101000000…
…00111010000000000
31012022211112100222100
423222200013100000
5201122200041230
65430433310400
7622235061063
oct135240072000
935284470870
1012524221440
115347661a35
122516405400
13124794a623
1486b4ba8da
154d47c0660
hex2ea807400

12524221440 has 264 divisors, whose sum is σ = 43653961728. Its totient is φ = 3319971840.

The previous prime is 12524221439. The next prime is 12524221477. The reversal of 12524221440 is 4412242521.

It is a happy number.

It is a super-2 number, since 2×125242214402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8800569 + ... + 8801991.

Almost surely, 212524221440 is an apocalyptic number.

12524221440 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 12524221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21826980864).

12524221440 is an abundant number, since it is smaller than the sum of its proper divisors (31129740288).

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

12524221440 is a wasteful number, since it uses less digits than its factorization.

12524221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12524221440 its reverse (4412242521), we get a palindrome (16936463961).

The spelling of 12524221440 in words is "twelve billion, five hundred twenty-four million, two hundred twenty-one thousand, four hundred forty".