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12432112400 = 245231080281
BaseRepresentation
bin10111001010000001…
…01111101100010000
31012002102012202010102
423211000233230100
5200430110044100
65413343151532
7620036132441
oct134500575420
935072182112
1012432112400
1152aa670064
1224ab5a55a8
13123183a736
1485d1812c8
154cb678cd5
hex2e502fb10

12432112400 has 30 divisors (see below), whose sum is σ = 29868151002. Its totient is φ = 4972844800.

The previous prime is 12432112367. The next prime is 12432112403. The reversal of 12432112400 is 421123421.

It can be written as a sum of positive squares in 3 ways, for example, as 264257536 + 12167854864 = 16256^2 + 110308^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12432112403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15539741 + ... + 15540540.

Almost surely, 212432112400 is an apocalyptic number.

12432112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432112400 is an abundant number, since it is smaller than the sum of its proper divisors (17436038602).

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

12432112400 is a wasteful number, since it uses less digits than its factorization.

12432112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31080299 (or 31080288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12432112400 its reverse (421123421), we get a palindrome (12853235821).

The spelling of 12432112400 in words is "twelve billion, four hundred thirty-two million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 31080281 62160562 124321124 155401405 248642248 310802810 497284496 621605620 777007025 1243211240 1554014050 2486422480 3108028100 6216056200 12432112400