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12235320240 = 243511131767313
BaseRepresentation
bin10110110010100100…
…00010101110110000
31011120200220200000220
423121102002232300
5200024220221430
65342033213040
7612126335403
oct133122025660
934520820026
1012235320240
115209579210
122455701180
1311ccb37580
14840d95d3a
154b9255110
hex2d9482bb0

12235320240 has 640 divisors, whose sum is σ = 48038925312. Its totient is φ = 2530344960.

The previous prime is 12235320217. The next prime is 12235320269. The reversal of 12235320240 is 4202353221.

It is a super-2 number, since 2×122353202402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12235320240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39090324 + ... + 39090636.

Almost surely, 212235320240 is an apocalyptic number.

12235320240 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 12235320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24019462656).

12235320240 is an abundant number, since it is smaller than the sum of its proper divisors (35803605072).

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

12235320240 is a wasteful number, since it uses less digits than its factorization.

12235320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 12235320240 its reverse (4202353221), we get a palindrome (16437673461).

The spelling of 12235320240 in words is "twelve billion, two hundred thirty-five million, three hundred twenty thousand, two hundred forty".