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12320234331400 = 2352292124178333
BaseRepresentation
bin1011001101001000011100…
…1100001101110100001000
31121121210200022110200001001
42303102013030031310020
53103323314442101100
642111500523104344
72411051614634602
oct263220714156410
947553608420031
1012320234331400
113a1aa89101836
12146b8b16720b4
136b4a40610a48
143084341a4172
15165726bd6d6a
hexb348730dd08

12320234331400 has 48 divisors (see below), whose sum is σ = 29632287759300. Its totient is φ = 4758159463680.

The previous prime is 12320234331311. The next prime is 12320234331421. The reversal of 12320234331400 is 413343202321.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7526035063044 + 4794199268356 = 2743362^2 + 2189566^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062083367 + ... + 1062094966.

Almost surely, 212320234331400 is an apocalyptic number.

12320234331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320234331400 is an abundant number, since it is smaller than the sum of its proper divisors (17312053427900).

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

12320234331400 is a wasteful number, since it uses less digits than its factorization.

12320234331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124178378 (or 2124178369 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12320234331400 its reverse (413343202321), we get a palindrome (12733577533721).

The spelling of 12320234331400 in words is "twelve trillion, three hundred twenty billion, two hundred thirty-four million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 2124178333 4248356666 8496713332 10620891665 16993426664 21241783330 42483566660 53104458325 61601171657 84967133320 106208916650 123202343314 212417833300 246404686628 308005858285 424835666600 492809373256 616011716570 1232023433140 1540029291425 2464046866280 3080058582850 6160117165700 12320234331400