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12443200000 = 2955711101
BaseRepresentation
bin10111001011010110…
…00010101000000000
31012010012002001110021
423211223002220000
5200440424400000
65414420543224
7620232312010
oct134553025000
935105061407
1012443200000
115305953370
1224b3251b14
131233c2034a
14860829c40
154cc61911a
hex2e5ac2a00

12443200000 has 480 divisors, whose sum is σ = 39127245696. Its totient is φ = 3840000000.

The previous prime is 12443199991. The next prime is 12443200013. The reversal of 12443200000 is 234421.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 123199950 + ... + 123200050.

Almost surely, 212443200000 is an apocalyptic number.

12443200000 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 12443200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563622848).

12443200000 is an abundant number, since it is smaller than the sum of its proper divisors (26684045696).

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

12443200000 is an frugal number, since it uses more digits than its factorization.

12443200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12443200000 its reverse (234421), we get a palindrome (12443434421).

The spelling of 12443200000 in words is "twelve billion, four hundred forty-three million, two hundred thousand".