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12001323400 = 235211171916889
BaseRepresentation
bin10110010110101010…
…11010100110001000
31010222101121101201021
423023111122212020
5144034314322100
65302514002224
7603255365023
oct131325324610
933871541637
1012001323400
1150a94859a0
1223ab276374
131193508cc1
1481bc841ba
154a3932a1a
hex2cb55a988

12001323400 has 192 divisors, whose sum is σ = 33928632000. Its totient is φ = 3890995200.

The previous prime is 12001323361. The next prime is 12001323403. The reversal of 12001323400 is 432310021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12001323403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702156 + ... + 719044.

It is an arithmetic number, because the mean of its divisors is an integer number (176711625).

Almost surely, 212001323400 is an apocalyptic number.

12001323400 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 12001323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964316000).

12001323400 is an abundant number, since it is smaller than the sum of its proper divisors (21927308600).

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

12001323400 is a wasteful number, since it uses less digits than its factorization.

12001323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16952 (or 16943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12001323400 its reverse (432310021), we get a palindrome (12433633421).

The spelling of 12001323400 in words is "twelve billion, one million, three hundred twenty-three thousand, four hundred".