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12352500000 = 25345761
BaseRepresentation
bin10111000000100010…
…00011000100100000
31011212212102000110000
423200101003010200
5200244220000000
65401420540000
7615051342351
oct134021030440
934785360400
1012352500000
115269734095
1224889b1600
13121b1b48c9
14852779d28
154c46a0000
hex2e0443120

12352500000 has 480 divisors, whose sum is σ = 46154764656. Its totient is φ = 3240000000.

The previous prime is 12352499989. The next prime is 12352500007. The reversal of 12352500000 is 525321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12350321424 + 2178576 = 111132^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12352500007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202499970 + ... + 202500030.

Almost surely, 212352500000 is an apocalyptic number.

12352500000 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 12352500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23077382328).

12352500000 is an abundant number, since it is smaller than the sum of its proper divisors (33802264656).

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

12352500000 is an frugal number, since it uses more digits than its factorization.

12352500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The spelling of 12352500000 in words is "twelve billion, three hundred fifty-two million, five hundred thousand".