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121355100240 = 243511149308509
BaseRepresentation
bin111000100000101010…
…0111110000001010000
3102121020110000211120020
41301001110332001100
53442013401201430
6131425540543440
711524202221653
oct1610124760120
9377213024506
10121355100240
1147514876a80
121b6296b1b80
13b59cb7502a
145c332cb89a
153253e2bb10
hex1c4153e050

121355100240 has 160 divisors (see below), whose sum is σ = 413156592000. Its totient is φ = 29221877760.

The previous prime is 121355100239. The next prime is 121355100259. The reversal of 121355100240 is 42001553121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121355100240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239106 + ... + 547614.

It is an arithmetic number, because the mean of its divisors is an integer number (2582228700).

Almost surely, 2121355100240 is an apocalyptic number.

121355100240 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 121355100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206578296000).

121355100240 is an abundant number, since it is smaller than the sum of its proper divisors (291801491760).

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

121355100240 is a wasteful number, since it uses less digits than its factorization.

121355100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308685 (or 308679 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 121355100240 its reverse (42001553121), we get a palindrome (163356653361).

The spelling of 121355100240 in words is "one hundred twenty-one billion, three hundred fifty-five million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 149 165 176 220 240 264 298 330 440 447 528 596 660 745 880 894 1192 1320 1490 1639 1788 2235 2384 2640 2980 3278 3576 4470 4917 5960 6556 7152 8195 8940 9834 11920 13112 16390 17880 19668 24585 26224 32780 35760 39336 49170 65560 78672 98340 131120 196680 308509 393360 617018 925527 1234036 1542545 1851054 2468072 3085090 3393599 3702108 4627635 4936144 6170180 6787198 7404216 9255270 10180797 12340360 13574396 14808432 16967995 18510540 20361594 24680720 27148792 33935990 37021080 40723188 45967841 50903985 54297584 67871980 74042160 81446376 91935682 101807970 135743960 137903523 162892752 183871364 203615940 229839205 271487920 275807046 367742728 407231880 459678410 505646251 551614092 689517615 735485456 814463760 919356820 1011292502 1103228184 1379035230 1516938753 1838713640 2022585004 2206456368 2528231255 2758070460 3033877506 3677427280 4045170008 5056462510 5516140920 6067755012 7584693765 8090340016 10112925020 11032281840 12135510024 15169387530 20225850040 24271020048 30338775060 40451700080 60677550120 121355100240