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12032344320400 = 245230080860801
BaseRepresentation
bin1010111100010111111110…
…0110111110100110010000
31120121021120202121211012001
42233011333212332212100
53034114220121223100
641331325505043344
72351210465133505
oct257057746764620
946537522554161
1012032344320400
113919985760508
121423b47926554
13693850677001
142d85235114ac
1515cec7772d6a
hexaf17f9be990

12032344320400 has 30 divisors (see below), whose sum is σ = 28907707230722. Its totient is φ = 4812937728000.

The previous prime is 12032344320343. The next prime is 12032344320407. The reversal of 12032344320400 is 402344323021.

It can be written as a sum of positive squares in 3 ways, for example, as 70790052096 + 11961554268304 = 266064^2 + 3458548^2 .

It is not an unprimeable number, because it can be changed into a prime (12032344320407) 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, 15040430001 + ... + 15040430800.

Almost surely, 212032344320400 is an apocalyptic number.

12032344320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032344320400 is an abundant number, since it is smaller than the sum of its proper divisors (16875362910322).

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

12032344320400 is a wasteful number, since it uses less digits than its factorization.

12032344320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30080860819 (or 30080860808 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 12032344320400 its reverse (402344323021), we get a palindrome (12434688643421).

The spelling of 12032344320400 in words is "twelve trillion, thirty-two billion, three hundred forty-four million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30080860801 60161721602 120323443204 150404304005 240646886408 300808608010 481293772816 601617216020 752021520025 1203234432040 1504043040050 2406468864080 3008086080100 6016172160200 12032344320400