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1241405051120 = 2451310191112973
BaseRepresentation
bin10010000100001001100…
…000011101000011110000
311101200021122121122021022
4102010021200131003300
5130314344143113440
62350143230315012
7155455113554543
oct22041140350360
94350248548238
101241405051120
11439527873903
12180714058a68
13900aa796b60
144412756085a
1522459c13cb5
hex1210981d0f0

1241405051120 has 160 divisors (see below), whose sum is σ = 3142750351104. Its totient is φ = 453293568000.

The previous prime is 1241405051119. The next prime is 1241405051123. The reversal of 1241405051120 is 211505041421.

It is a happy number.

It is a super-3 number, since 3×12414050511203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1241405051120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241405051123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95684954 + ... + 95697926.

Almost surely, 21241405051120 is an apocalyptic number.

1241405051120 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 1241405051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571375175552).

1241405051120 is an abundant number, since it is smaller than the sum of its proper divisors (1901345299984).

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

1241405051120 is a wasteful number, since it uses less digits than its factorization.

1241405051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14011 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 1241405051120 in words is "one trillion, two hundred forty-one billion, four hundred five million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 911 1010 1040 1313 1616 1822 2020 2626 3644 4040 4555 5252 6565 7288 8080 9110 10504 11843 12973 13130 14576 18220 21008 23686 25946 26260 36440 47372 51892 52520 59215 64865 72880 92011 94744 103784 105040 118430 129730 168649 184022 189488 207568 236860 259460 337298 368044 460055 473720 518920 674596 736088 843245 920110 947440 1037840 1196143 1310273 1349192 1472176 1686490 1840220 2392286 2620546 2698384 3372980 3680440 4784572 5241092 5980715 6551365 6745960 7360880 9569144 10482184 11818403 11961430 13102730 13491920 17033549 19138288 20964368 23636806 23922860 26205460 34067098 47273612 47845720 52410920 59092015 68134196 85167745 94547224 95691440 104821840 118184030 136268392 153639239 170335490 189094448 236368060 272536784 307278478 340670980 472736120 614556956 681341960 768196195 945472240 1193658703 1229113912 1362683920 1536392390 2387317406 2458227824 3072784780 4774634812 5968293515 6145569560 9549269624 11936587030 12291139120 15517563139 19098539248 23873174060 31035126278 47746348120 62070252556 77587815695 95492696240 124140505112 155175631390 248281010224 310351262780 620702525560 1241405051120