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12248500000 = 25561117131
BaseRepresentation
bin10110110100001000…
…10100011100100000
31011121121201021021011
423122010110130200
5200041104000000
65343223510304
7612346350352
oct133204243440
934547637234
1012248500000
115215a60380
122459bb8394
1312027a0549
14842a270d2
154ba4aa2ba
hex2da114720

12248500000 has 336 divisors, whose sum is σ = 35082675936. Its totient is φ = 4160000000.

The previous prime is 12248499979. The next prime is 12248500003. The reversal of 12248500000 is 584221.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12248500003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93499935 + ... + 93500065.

It is an arithmetic number, because the mean of its divisors is an integer number (104412726).

Almost surely, 212248500000 is an apocalyptic number.

12248500000 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 12248500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541337968).

12248500000 is an abundant number, since it is smaller than the sum of its proper divisors (22834175936).

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

12248500000 is an equidigital number, since it uses as much as digits as its factorization.

12248500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

It can be divided in two parts, 1224 and 8500000, that multiplied together give a square (10404000000 = 1020002).

The spelling of 12248500000 in words is "twelve billion, two hundred forty-eight million, five hundred thousand".