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12703320000 = 2632547712
BaseRepresentation
bin10111101010010110…
…10100011111000000
31012210022112112000100
423311023110133000
5202004022220000
65500312122400
7626541303240
oct136513243700
935708475010
1012703320000
115429769378
122566396400
131275a970c7
148871bbb20
154e539ba00
hex2f52d47c0

12703320000 has 630 divisors, whose sum is σ = 52742885624. Its totient is φ = 2862720000.

The previous prime is 12703319987. The next prime is 12703320053. The reversal of 12703320000 is 2330721.

12703320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (630).

It is a super-2 number, since 2×127033200002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 178919965 + ... + 178920035.

Almost surely, 212703320000 is an apocalyptic number.

12703320000 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 12703320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371442812).

12703320000 is an abundant number, since it is smaller than the sum of its proper divisors (40039565624).

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

12703320000 is an frugal number, since it uses more digits than its factorization.

12703320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Multiplying 12703320000 by its product of nonzero digits (252), we get a square (3201236640000 = 17892002).

12703320000 divided by its product of nonzero digits (252) gives a square (50410000 = 71002).

Adding to 12703320000 its reverse (2330721), we get a palindrome (12705650721).

The spelling of 12703320000 in words is "twelve billion, seven hundred three million, three hundred twenty thousand".