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121312103000 = 23531161180793
BaseRepresentation
bin111000011111011000…
…0111100101001011000
3102121010110010100102212
41300332300330221120
53441421344244000
6131421403214252
711523140601404
oct1607660745130
9377113110385
10121312103000
11474a2579570
121b617217388
13b593c9c18a
145c2b6d8104
153250286c35
hex1c3ec3ca58

121312103000 has 128 divisors (see below), whose sum is σ = 314755122240. Its totient is φ = 43390080000.

The previous prime is 121312102981. The next prime is 121312103009. The reversal of 121312103000 is 301213121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121312103009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 580604 + ... + 761396.

Almost surely, 2121312103000 is an apocalyptic number.

121312103000 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 121312103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157377561120).

121312103000 is an abundant number, since it is smaller than the sum of its proper divisors (193443019240).

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

121312103000 is a wasteful number, since it uses less digits than its factorization.

121312103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180886 (or 180872 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 121312103000 its reverse (301213121), we get a palindrome (121613316121).

The spelling of 121312103000 in words is "one hundred twenty-one billion, three hundred twelve million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 125 200 220 244 250 275 305 440 488 500 550 610 671 1000 1100 1220 1342 1375 1525 2200 2440 2684 2750 3050 3355 5368 5500 6100 6710 7625 11000 12200 13420 15250 16775 26840 30500 33550 61000 67100 83875 134200 167750 180793 335500 361586 671000 723172 903965 1446344 1807930 1988723 3615860 3977446 4519825 7231720 7954892 9039650 9943615 11028373 15909784 18079300 19887230 22056746 22599125 36158600 39774460 44113492 45198250 49718075 55141865 79548920 88226984 90396500 99436150 110283730 121312103 180793000 198872300 220567460 242624206 248590375 275709325 397744600 441134920 485248412 497180750 551418650 606560515 970496824 994361500 1102837300 1213121030 1378546625 1988723000 2205674600 2426242060 2757093250 3032802575 4852484120 5514186500 6065605150 11028373000 12131210300 15164012875 24262420600 30328025750 60656051500 121312103000