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121311554144 = 25115329322193
BaseRepresentation
bin111000011111010111…
…0110110101001100000
3102121010102002110112212
41300332232312221200
53441421224213034
6131421343341252
711523133124264
oct1607656665140
9377112073485
10121311554144
11474a2234170
121b616bb1828
13b593b39401
145c2b5d40a4
1532501c92ce
hex1c3ebb6a60

121311554144 has 96 divisors (see below), whose sum is σ = 266378069664. Its totient is φ = 53914132480.

The previous prime is 121311554129. The next prime is 121311554153. The reversal of 121311554144 is 441455113121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 121311554144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5455112 + ... + 5477304.

It is an arithmetic number, because the mean of its divisors is an integer number (2774771559).

Almost surely, 2121311554144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121311554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189034832).

121311554144 is an abundant number, since it is smaller than the sum of its proper divisors (145066515520).

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

121311554144 is a wasteful number, since it uses less digits than its factorization.

121311554144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22560 (or 22552 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

Adding to 121311554144 its reverse (441455113121), we get a palindrome (562766667265).

The spelling of 121311554144 in words is "one hundred twenty-one billion, three hundred eleven million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 293 352 424 583 586 848 1166 1172 1696 2332 2344 3223 4664 4688 6446 9328 9376 12892 15529 18656 22193 25784 31058 44386 51568 62116 88772 103136 124232 170819 177544 244123 248464 341638 355088 488246 496928 683276 710176 976492 1176229 1366552 1952984 2352458 2733104 3905968 4704916 5466208 6502549 7811936 9409832 12938519 13005098 18819664 25877038 26010196 37639328 51754076 52020392 71528039 103508152 104040784 143056078 207016304 208081568 286112156 344635097 414032608 572224312 689270194 1144448624 1378540388 2288897248 2757080776 3790986067 5514161552 7581972134 11028323104 15163944268 30327888536 60655777072 121311554144