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121879098544 = 24729319712479
BaseRepresentation
bin111000110000010001…
…1110111010010110000
3102122120222000201002211
41301200203313102300
53444102022123134
6131553540021504
711543164146550
oct1614043672260
9378528021084
10121879098544
1147763634725
121b755091894
13b6545b03b8
145c82b2d160
153284e35764
hex1c608f74b0

121879098544 has 160 divisors (see below), whose sum is σ = 291181363200. Its totient is φ = 48298844160.

The previous prime is 121879098527. The next prime is 121879098569. The reversal of 121879098544 is 445890978121.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9760497 + ... + 9772975.

It is an arithmetic number, because the mean of its divisors is an integer number (1819883520).

Almost surely, 2121879098544 is an apocalyptic number.

121879098544 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 121879098544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145590681600).

121879098544 is an abundant number, since it is smaller than the sum of its proper divisors (169302264656).

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

121879098544 is a wasteful number, since it uses less digits than its factorization.

121879098544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12651 (or 12645 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 121879098544 in words is "one hundred twenty-one billion, eight hundred seventy-nine million, ninety-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 31 56 58 62 97 112 116 124 194 203 217 232 248 388 406 434 464 496 679 776 812 868 899 1358 1552 1624 1736 1798 2716 2813 3007 3248 3472 3596 5432 5626 6014 6293 7192 10864 11252 12028 12479 12586 14384 19691 21049 22504 24056 24958 25172 39382 42098 45008 48112 49916 50344 78764 84196 87203 87353 99832 100688 157528 168392 174406 174706 199664 315056 336784 348812 349412 361891 386849 610421 697624 698824 723782 773698 1210463 1220842 1395248 1397648 1447564 1547396 2420926 2441684 2533237 2707943 2895128 3094792 4841852 4883368 5066474 5415886 5790256 6189584 8473241 9683704 9766736 10132948 10831772 11218621 16946482 19367408 20265896 21663544 22437242 33892964 35103427 37524353 40531792 43327088 44874484 67785928 70206854 75048706 78530347 89748968 135571856 140413708 150097412 157060694 179497936 245723989 262670471 280827416 300194824 314121388 491447978 525340942 561654832 600389648 628242776 982895956 1050681884 1088206237 1256485552 1965791912 2101363768 2176412474 3931583824 4202727536 4352824948 7617443659 8705649896 15234887318 17411299792 30469774636 60939549272 121879098544