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12320445400 = 2352712633299
BaseRepresentation
bin10110111100101101…
…10001001111011000
31011210122002110210121
423132112301033120
5200213013223100
65354313523024
7614212025614
oct133626611730
934718073717
1012320445400
11525262aa8a
12247a113474
1312146706a3
1484c3d4344
154c196c51a
hex2de5b13d8

12320445400 has 96 divisors (see below), whose sum is σ = 29167776000. Its totient is φ = 4838825600.

The previous prime is 12320445373. The next prime is 12320445421. The reversal of 12320445400 is 454402321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3732951 + ... + 3736249.

It is an arithmetic number, because the mean of its divisors is an integer number (303831000).

Almost surely, 212320445400 is an apocalyptic number.

12320445400 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 12320445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583888000).

12320445400 is an abundant number, since it is smaller than the sum of its proper divisors (16847330600).

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

12320445400 is a wasteful number, since it uses less digits than its factorization.

12320445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12320445400 its reverse (454402321), we get a palindrome (12774847721).

The spelling of 12320445400 in words is "twelve billion, three hundred twenty million, four hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 263 284 355 526 568 710 1052 1315 1420 1775 2104 2630 2840 3299 3550 5260 6575 6598 7100 10520 13150 13196 14200 16495 18673 26300 26392 32990 37346 52600 65980 74692 82475 93365 131960 149384 164950 186730 234229 329900 373460 466825 468458 659800 746920 867637 933650 936916 1171145 1735274 1867300 1873832 2342290 3470548 3734600 4338185 4684580 5855725 6941096 8676370 9369160 11711450 17352740 21690925 23422900 34705480 43381850 46845800 61602227 86763700 123204454 173527400 246408908 308011135 492817816 616022270 1232044540 1540055675 2464089080 3080111350 6160222700 12320445400