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12321113401300 = 225211193715933161
BaseRepresentation
bin1011001101001011101110…
…0101100110011111010100
31121121212221120121001020111
42303102323211212133110
53103332120012320200
642112124044412404
72411112450621604
oct263227345463724
947555846531214
1012321113401300
113a2039a338a90
12146bab7b47104
136b4b50789852
143084b8c32c04
15165778e7c0ba
hexb34bb9667d4

12321113401300 has 144 divisors (see below), whose sum is σ = 31532364924480. Its totient is φ = 4129875072000.

The previous prime is 12321113401297. The next prime is 12321113401307. The reversal of 12321113401300 is 310431112321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321113401307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7193281 + ... + 8739880.

It is an arithmetic number, because the mean of its divisors is an integer number (218974756420).

Almost surely, 212321113401300 is an apocalyptic number.

12321113401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321113401300 is an abundant number, since it is smaller than the sum of its proper divisors (19211251523180).

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

12321113401300 is a wasteful number, since it uses less digits than its factorization.

12321113401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933242 (or 15933235 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12321113401300 its reverse (310431112321), we get a palindrome (12631544513621).

The spelling of 12321113401300 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirteen million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 37 38 44 50 55 74 76 95 100 110 148 185 190 209 220 275 370 380 407 418 475 550 703 740 814 836 925 950 1045 1100 1406 1628 1850 1900 2035 2090 2812 3515 3700 4070 4180 5225 7030 7733 8140 10175 10450 14060 15466 17575 20350 20900 30932 35150 38665 40700 70300 77330 154660 193325 386650 773300 15933161 31866322 63732644 79665805 159331610 175264771 302730059 318663220 350529542 398329025 589526957 605460118 701059084 796658050 876323855 1179053914 1210920236 1513650295 1593316100 1752647710 2358107828 2947634785 3027300590 3330030649 3505295420 4381619275 5895269570 6054601180 6484796527 6660061298 7568251475 8763238550 11201012183 11790539140 12969593054 13320122596 14738173925 15136502950 16650153245 17526477100 22402024366 25939186108 29476347850 30273005900 32423982635 33300306490 44804048732 56005060915 58952695700 64847965270 66600612980 83250766225 112010121830 123211134013 129695930540 162119913175 166501532450 224020243660 246422268026 280025304575 324239826350 333003064900 492844536052 560050609150 616055670065 648479652700 1120101218300 1232111340130 2464222680260 3080278350325 6160556700650 12321113401300