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121020144240 = 24357945713967
BaseRepresentation
bin111000010110101011…
…1001101101001110000
3102120101002202022022110
41300231113031221300
53440322124103430
6131332413405320
711512664152602
oct1605527155160
9376332668273
10121020144240
1147362797636
121b555499840
13b548658508
145c00a19172
1532348157b0
hex1c2d5cda70

121020144240 has 160 divisors (see below), whose sum is σ = 380769914880. Its totient is φ = 31791532032.

The previous prime is 121020144227. The next prime is 121020144247. The reversal of 121020144240 is 42441020121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020144247) 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, 8657737 + ... + 8671703.

It is an arithmetic number, because the mean of its divisors is an integer number (2379811968).

Almost surely, 2121020144240 is an apocalyptic number.

121020144240 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 121020144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190384957440).

121020144240 is an abundant number, since it is smaller than the sum of its proper divisors (259749770640).

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

121020144240 is a wasteful number, since it uses less digits than its factorization.

121020144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519 (or 14513 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 121020144240 its reverse (42441020121), we get a palindrome (163461164361).

The spelling of 121020144240 in words is "one hundred twenty-one billion, twenty million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 457 474 632 790 914 948 1185 1264 1371 1580 1828 1896 2285 2370 2742 3160 3656 3792 4570 4740 5484 6320 6855 7312 9140 9480 10968 13710 13967 18280 18960 21936 27420 27934 36103 36560 41901 54840 55868 69835 72206 83802 108309 109680 111736 139670 144412 167604 180515 209505 216618 223472 279340 288824 335208 361030 419010 433236 541545 558680 577648 670416 722060 838020 866472 1083090 1103393 1117360 1444120 1676040 1732944 2166180 2206786 2888240 3310179 3352080 4332360 4413572 5516965 6382919 6620358 8664720 8827144 11033930 12765838 13240716 16550895 17654288 19148757 22067860 25531676 26481432 31914595 33101790 38297514 44135720 51063352 52962864 63829190 66203580 76595028 88271440 95743785 102126704 127658380 132407160 153190056 191487570 255316760 264814320 306380112 382975140 504250601 510633520 765950280 1008501202 1512751803 1531900560 2017002404 2521253005 3025503606 4034004808 5042506010 6051007212 7563759015 8068009616 10085012020 12102014424 15127518030 20170024040 24204028848 30255036060 40340048080 60510072120 121020144240