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12232342441400 = 23521013319182453
BaseRepresentation
bin1011001000000001000001…
…1011010000110110111000
31121022101210222101001011212
42302000100123100312320
53100403314131111100
642003243250542252
72401520564123414
oct262002033206670
947271728331155
1012232342441400
113996786458a14
121456862897988
136a9674488b43
14304097263d44
151632d0975635
hexb20106d0db8

12232342441400 has 96 divisors (see below), whose sum is σ = 28730593490400. Its totient is φ = 4843005888000.

The previous prime is 12232342441391. The next prime is 12232342441457. The reversal of 12232342441400 is 414424323221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66952574 + ... + 67135026.

It is an arithmetic number, because the mean of its divisors is an integer number (299277015525).

Almost surely, 212232342441400 is an apocalyptic number.

12232342441400 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 12232342441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365296745200).

12232342441400 is an abundant number, since it is smaller than the sum of its proper divisors (16498251049000).

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

12232342441400 is a wasteful number, since it uses less digits than its factorization.

12232342441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185889 (or 185880 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12232342441400 its reverse (414424323221), we get a palindrome (12646766764621).

The spelling of 12232342441400 in words is "twelve trillion, two hundred thirty-two billion, three hundred forty-two million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 3319 4040 5050 6638 10100 13276 16595 20200 26552 33190 66380 82975 132760 165950 182453 331900 335219 364906 663800 670438 729812 912265 1340876 1459624 1676095 1824530 2681752 3352190 3649060 4561325 6704380 7298120 8380475 9122650 13408760 16760950 18245300 18427753 33521900 36490600 36855506 67043800 73711012 92138765 147422024 184277530 368555060 460693825 605561507 737110120 921387650 1211123014 1842775300 2422246028 3027807535 3685550600 4844492056 6055615070 12111230140 15139037675 24222460280 30278075350 60556150700 61161712207 121112301400 122323424414 244646848828 305808561035 489293697656 611617122070 1223234244140 1529042805175 2446468488280 3058085610350 6116171220700 12232342441400