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121334123310 = 235193756910111
BaseRepresentation
bin111000100000000010…
…0111100101100101110
3102121011222120002121220
41301000010330230232
53441443013421220
6131423511204210
711523526013511
oct1610004745456
9377158502556
10121334123310
1147503a49774
121b622676666
13b59870c04a
145c305cad78
153252186540
hex1c4013cb2e

121334123310 has 128 divisors (see below), whose sum is σ = 315397324800. Its totient is φ = 29769016320.

The previous prime is 121334123279. The next prime is 121334123311. The reversal of 121334123310 is 13321433121.

It is a super-2 number, since 2×1213341233102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121334123311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11995155 + ... + 12005265.

It is an arithmetic number, because the mean of its divisors is an integer number (2464041600).

Almost surely, 2121334123310 is an apocalyptic number.

121334123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121334123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157698662400).

121334123310 is an abundant number, since it is smaller than the sum of its proper divisors (194063201490).

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

121334123310 is a wasteful number, since it uses less digits than its factorization.

121334123310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10746.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 121334123310 its reverse (13321433121), we get a palindrome (134655556431).

The spelling of 121334123310 in words is "one hundred twenty-one billion, three hundred thirty-four million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 569 570 703 1110 1138 1406 1707 2109 2845 3414 3515 4218 5690 7030 8535 10111 10545 10811 17070 20222 21053 21090 21622 30333 32433 42106 50555 54055 60666 63159 64866 101110 105265 108110 126318 151665 162165 192109 210530 303330 315795 324330 374107 384218 400007 576327 631590 748214 800014 960545 1122321 1152654 1200021 1870535 1921090 2000035 2244642 2400042 2881635 3741070 4000070 5611605 5753159 5763270 6000105 7108033 11223210 11506318 12000210 14216066 17259477 21324099 28765795 34518954 35540165 42648198 57531590 71080330 86297385 106620495 109310021 172594770 212866883 213240990 218620042 327930063 425733766 546550105 638600649 655860126 1064334415 1093100210 1277201298 1639650315 2128668830 3193003245 3279300630 4044470777 6386006490 8088941554 12133412331 20222353885 24266824662 40444707770 60667061655 121334123310