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12632310240 = 25351123104021
BaseRepresentation
bin10111100001111000…
…11100000111100000
31012121100220211221020
423300330130013200
5201332332411430
65445254125440
7625016602554
oct136074340740
935540824836
1012632310240
1153a2678720
122546650880
131264163ab4
1487b9b5864
154de021b10
hex2f0f1c1e0

12632310240 has 192 divisors, whose sum is σ = 45297004032. Its totient is φ = 2929203200.

The previous prime is 12632310221. The next prime is 12632310253. The reversal of 12632310240 is 4201323621.

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 12632310240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69430 + ... + 173450.

It is an arithmetic number, because the mean of its divisors is an integer number (235921896).

Almost surely, 212632310240 is an apocalyptic number.

12632310240 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 12632310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22648502016).

12632310240 is an abundant number, since it is smaller than the sum of its proper divisors (32664693792).

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

12632310240 is a wasteful number, since it uses less digits than its factorization.

12632310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104073 (or 104065 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12632310240 its reverse (4201323621), we get a palindrome (16833633861).

The spelling of 12632310240 in words is "twelve billion, six hundred thirty-two million, three hundred ten thousand, two hundred forty".