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120411130224 = 243711254912781
BaseRepresentation
bin111000000100100010…
…0000000100101110000
3102111210122210012010210
41300021010000211300
53433100222131344
6131152140224120
711461620501540
oct1601104004560
9374718705123
10120411130224
114707aa42370
121b40553b040
13b47c424aa8
145b83ba7320
1531eb116db9
hex1c09100970

120411130224 has 160 divisors (see below), whose sum is σ = 388000166400. Its totient is φ = 31260902400.

The previous prime is 120411130219. The next prime is 120411130253. The reversal of 120411130224 is 422031114021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 120411130224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9414714 + ... + 9427494.

It is an arithmetic number, because the mean of its divisors is an integer number (2425001040).

Almost surely, 2120411130224 is an apocalyptic number.

120411130224 is a gapful number since it is divisible by the number (14) 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 120411130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194000083200).

120411130224 is an abundant number, since it is smaller than the sum of its proper divisors (267589036176).

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

120411130224 is a wasteful number, since it uses less digits than its factorization.

120411130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15359 (or 15353 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 120411130224 its reverse (422031114021), we get a palindrome (542442244245).

The spelling of 120411130224 in words is "one hundred twenty billion, four hundred eleven million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 2549 3696 5098 7647 10196 12781 15294 17843 20392 25562 28039 30588 35686 38343 40784 51124 53529 56078 61176 71372 76686 84117 89467 102248 107058 112156 122352 140591 142744 153372 168234 178934 196273 204496 214116 224312 268401 281182 285488 306744 336468 357868 392546 421773 428232 448624 536802 562364 588819 613488 672936 715736 785092 843546 856464 984137 1073604 1124728 1177638 1345872 1431472 1570184 1687092 1968274 2147208 2249456 2355276 2952411 3140368 3374184 3936548 4294416 4710552 5904822 6748368 7873096 9421104 11809644 15746192 23619288 32578769 47238576 65157538 97736307 130315076 195472614 228051383 260630152 358366459 390945228 456102766 521260304 684154149 716732918 781890456 912205532 1075099377 1368308298 1433465836 1563780912 1824411064 2150198754 2508565213 2736616596 2866931672 3648822128 4300397508 5017130426 5473233192 5733863344 7525695639 8600795016 10034260852 10946466384 15051391278 17201590032 20068521704 30102782556 40137043408 60205565112 120411130224