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12231201400 = 23521114937313
BaseRepresentation
bin10110110010000100…
…10101001001111000
31011120102011102001021
423121002111021320
5200022141421100
65341405032224
7612046332205
oct133102251170
934512142037
1012231201400
115207215710
122454255674
1311cc0248a2
14840602cac
154b8bdea1a
hex2d9095278

12231201400 has 96 divisors (see below), whose sum is σ = 31231818000. Its totient is φ = 4417740800.

The previous prime is 12231201371. The next prime is 12231201401. The reversal of 12231201400 is 410213221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231201401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309144 + ... + 346456.

Almost surely, 212231201400 is an apocalyptic number.

12231201400 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 12231201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615909000).

12231201400 is an abundant number, since it is smaller than the sum of its proper divisors (19000616600).

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

12231201400 is a wasteful number, since it uses less digits than its factorization.

12231201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37489 (or 37480 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12231201400 its reverse (410213221), we get a palindrome (12641414621).

The spelling of 12231201400 in words is "twelve billion, two hundred thirty-one million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 149 200 220 275 298 440 550 596 745 1100 1192 1490 1639 2200 2980 3278 3725 5960 6556 7450 8195 13112 14900 16390 29800 32780 37313 40975 65560 74626 81950 149252 163900 186565 298504 327800 373130 410443 746260 820886 932825 1492520 1641772 1865650 2052215 3283544 3731300 4104430 5559637 7462600 8208860 10261075 11119274 16417720 20522150 22238548 27798185 41044300 44477096 55596370 61156007 82088600 111192740 122312014 138990925 222385480 244624028 277981850 305780035 489248056 555963700 611560070 1111927400 1223120140 1528900175 2446240280 3057800350 6115600700 12231201400