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121231213000 = 23531391934519
BaseRepresentation
bin111000011100111110…
…0011000000111001000
3102120220210220201012221
41300321330120013020
53441240142304000
6131405353343424
711521136210452
oct1607174300710
9376823821187
10121231213000
114746094a727
121b5b4107b74
13b5802b9981
145c20a7d2d2
15324810961a
hex1c39f181c8

121231213000 has 128 divisors (see below), whose sum is σ = 287265888000. Its totient is φ = 47883571200.

The previous prime is 121231212979. The next prime is 121231213001. The reversal of 121231213000 is 312132121.

It is not an unprimeable number, because it can be changed into a prime (121231213001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26824741 + ... + 26829259.

It is an arithmetic number, because the mean of its divisors is an integer number (2244264750).

Almost surely, 2121231213000 is an apocalyptic number.

121231213000 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 121231213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143632944000).

121231213000 is an abundant number, since it is smaller than the sum of its proper divisors (166034675000).

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

121231213000 is a wasteful number, since it uses less digits than its factorization.

121231213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121231213000 its reverse (312132121), we get a palindrome (121543345121).

The spelling of 121231213000 in words is "one hundred twenty-one billion, two hundred thirty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 193 200 250 278 386 500 556 695 772 965 1000 1112 1390 1544 1930 2780 3475 3860 4519 4825 5560 6950 7720 9038 9650 13900 17375 18076 19300 22595 24125 26827 27800 34750 36152 38600 45190 48250 53654 69500 90380 96500 107308 112975 134135 139000 180760 193000 214616 225950 268270 451900 536540 564875 628141 670675 872167 903800 1073080 1129750 1256282 1341350 1744334 2259500 2512564 2682700 3140705 3353375 3488668 4360835 4519000 5025128 5365400 6281410 6706750 6977336 8721670 12562820 13413500 15703525 17443340 21804175 25125640 26827000 31407050 34886680 43608350 62814100 78517625 87216700 109020875 121231213 125628200 157035250 174433400 218041750 242462426 314070500 436083500 484924852 606156065 628141000 872167000 969849704 1212312130 2424624260 3030780325 4849248520 6061560650 12123121300 15153901625 24246242600 30307803250 60615606500 121231213000