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12432044000 = 25536150951
BaseRepresentation
bin10111001010000000…
…11110111111100000
31012002102002021022002
423211000132333200
5200430100402000
65413341503132
7620035426145
oct134500367740
935072067262
1012432044000
1152aa623732
1224ab571aa8
13123181556c
1485d1643cc
154cb6638d5
hex2e501efe0

12432044000 has 96 divisors (see below), whose sum is σ = 31046887872. Its totient is φ = 4891200000.

The previous prime is 12432043997. The next prime is 12432044003. The reversal of 12432044000 is 44023421.

12432044000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12432043997) and next prime (12432044003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432044003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 218525 + ... + 269475.

It is an arithmetic number, because the mean of its divisors is an integer number (323405082).

Almost surely, 212432044000 is an apocalyptic number.

12432044000 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 12432044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523443936).

12432044000 is an abundant number, since it is smaller than the sum of its proper divisors (18614843872).

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

12432044000 is an equidigital number, since it uses as much as digits as its factorization.

12432044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51037 (or 51019 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12432044000 its reverse (44023421), we get a palindrome (12476067421).

The spelling of 12432044000 in words is "twelve billion, four hundred thirty-two million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 800 976 1000 1220 1525 1952 2000 2440 3050 4000 4880 6100 7625 9760 12200 15250 24400 30500 48800 50951 61000 101902 122000 203804 244000 254755 407608 509510 815216 1019020 1273775 1630432 2038040 2547550 3108011 4076080 5095100 6216022 6368875 8152160 10190200 12432044 12737750 15540055 20380400 24864088 25475500 31080110 40760800 49728176 50951000 62160220 77700275 99456352 101902000 124320440 155400550 203804000 248640880 310801100 388501375 497281760 621602200 777002750 1243204400 1554005500 2486408800 3108011000 6216022000 12432044000