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121113233120 = 25511405116987
BaseRepresentation
bin111000011001011101…
…0010100011011100000
3102120121120220201020202
41300302322110123200
53441014441424440
6131345540524332
711515204332005
oct1606272243340
9376546821222
10121113233120
11474002986a0
121b5806b06a8
13b561a1c3a9
145c0d12b8ac
15323caa2615
hex1c32e946e0

121113233120 has 96 divisors (see below), whose sum is σ = 312237265536. Its totient is φ = 44027712000.

The previous prime is 121113233113. The next prime is 121113233123. The reversal of 121113233120 is 21332311121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121113233092 and 121113233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113233123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7121267 + ... + 7138253.

It is an arithmetic number, because the mean of its divisors is an integer number (3252471516).

Almost surely, 2121113233120 is an apocalyptic number.

121113233120 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 121113233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156118632768).

121113233120 is an abundant number, since it is smaller than the sum of its proper divisors (191124032416).

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

121113233120 is a wasteful number, since it uses less digits than its factorization.

121113233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21064 (or 21056 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121113233120 its reverse (21332311121), we get a palindrome (142445544241).

The spelling of 121113233120 in words is "one hundred twenty-one billion, one hundred thirteen million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 4051 8102 16204 16987 20255 32408 33974 40510 44561 64816 67948 81020 84935 89122 129632 135896 162040 169870 178244 186857 222805 271792 324080 339740 356488 373714 445610 543584 648160 679480 712976 747428 891220 934285 1358960 1425952 1494856 1782440 1868570 2717920 2989712 3564880 3737140 5979424 7129760 7474280 14948560 29897120 68814337 137628674 275257348 344071685 550514696 688143370 756957707 1101029392 1376286740 1513915414 2202058784 2752573480 3027830828 3784788535 5505146960 6055661656 7569577070 11010293920 12111323312 15139154140 24222646624 30278308280 60556616560 121113233120