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121002202332 = 22321110919914087
BaseRepresentation
bin111000010110001001…
…0110001010011011100
3102120022211222202122100
41300230102301103130
53440303030433312
6131330533045100
711512355515044
oct1605422612334
9376284882570
10121002202332
1147353652610
121b54b486790
13b544a15abb
145bdc4a8724
153232e6e5dc
hex1c2c4b14dc

121002202332 has 144 divisors (see below), whose sum is σ = 338450112000. Its totient is φ = 36145802880.

The previous prime is 121002202331. The next prime is 121002202339. The reversal of 121002202332 is 233202200121.

121002202332 is a `hidden beast` number, since 1 + 210 + 0 + 220 + 233 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002202331) 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 47 ways as a sum of consecutive naturals, for example, 8582593 + ... + 8596679.

It is an arithmetic number, because the mean of its divisors is an integer number (2350348000).

Almost surely, 2121002202332 is an apocalyptic number.

121002202332 is a gapful number since it is divisible by the number (12) 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 121002202332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169225056000).

121002202332 is an abundant number, since it is smaller than the sum of its proper divisors (217447909668).

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

121002202332 is a wasteful number, since it uses less digits than its factorization.

121002202332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416 (or 14411 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 121002202332 its reverse (233202200121), we get a palindrome (354204402453).

The spelling of 121002202332 in words is "one hundred twenty-one billion, two million, two hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 198 199 218 327 396 398 436 597 654 796 981 1194 1199 1308 1791 1962 2189 2388 2398 3582 3597 3924 4378 4796 6567 7164 7194 8756 10791 13134 14087 14388 19701 21582 21691 26268 28174 39402 42261 43164 43382 56348 65073 78804 84522 86764 126783 130146 154957 169044 195219 238601 253566 260292 309914 390438 464871 477202 507132 619828 715803 780876 929742 954404 1394613 1431606 1535483 1859484 2147409 2789226 2803313 2863212 3070966 4294818 4606449 5578452 5606626 6141932 8409939 8589636 9212898 11213252 13819347 16819878 16890313 18425796 25229817 27638694 30836443 33639756 33780626 50459634 50670939 55277388 61672886 67561252 92509329 100919268 101341878 123345772 152012817 185018658 202683756 277527987 304025634 305561117 370037316 555055974 608051268 611122234 916683351 1110111948 1222244468 1833366702 2750050053 3361172287 3666733404 5500100106 6722344574 10083516861 11000200212 13444689148 20167033722 30250550583 40334067444 60501101166 121002202332