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121233332120 = 23523712637057
BaseRepresentation
bin111000011101000010…
…0011101011110011000
3102120220221220101002212
41300322010131132120
53441241213111440
6131405511014252
711521163214605
oct1607204353630
9376827811085
10121233332120
114746206786a
121b5b496a388
13b58087c3a4
145c210716ac
1532483c7465
hex1c3a11d798

121233332120 has 128 divisors (see below), whose sum is σ = 289782282240. Its totient is φ = 45551278080.

The previous prime is 121233332111. The next prime is 121233332149. The reversal of 121233332120 is 21233332121.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17175632 + ... + 17182688.

It is an arithmetic number, because the mean of its divisors is an integer number (2263924080).

Almost surely, 2121233332120 is an apocalyptic number.

121233332120 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 121233332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144891141120).

121233332120 is an abundant number, since it is smaller than the sum of its proper divisors (168548950120).

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

121233332120 is a wasteful number, since it uses less digits than its factorization.

121233332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7425 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 121233332120 its reverse (21233332121), we get a palindrome (142466664241).

Subtracting from 121233332120 its reverse (21233332121), we obtain a palindrome (99999999999).

The spelling of 121233332120 in words is "one hundred twenty-one billion, two hundred thirty-three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 263 284 355 460 526 568 710 920 1052 1315 1420 1633 2104 2630 2840 3266 5260 6049 6532 7057 8165 10520 12098 13064 14114 16330 18673 24196 28228 30245 32660 35285 37346 48392 56456 60490 65320 70570 74692 93365 120980 141140 149384 162311 186730 241960 282280 324622 373460 429479 501047 649244 746920 811555 858958 1002094 1298488 1623110 1717916 1855991 2004188 2147395 2505235 3246220 3435832 3711982 4008376 4294790 5010470 6492440 7423964 8589580 9279955 10020940 11524081 14847928 17179160 18559910 20041880 23048162 37119820 42687793 46096324 57620405 74239640 85375586 92192648 115240810 131775361 170751172 213438965 230481620 263550722 341502344 426877930 460963240 527101444 658876805 853755860 1054202888 1317753610 1707511720 2635507220 3030833303 5271014440 6061666606 12123333212 15154166515 24246666424 30308333030 60616666060 121233332120