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121233032032 = 2574999711117
BaseRepresentation
bin111000011101000001…
…1010100001101100000
3102120220221100010110111
41300322003110031200
53441241124011112
6131405500341104
711521160524660
oct1607203241540
9376827303414
10121233032032
1147461982362
121b5b4844794
13b5807a5918
145c20dd41a0
1532483685a7
hex1c3a0d4360

121233032032 has 96 divisors (see below), whose sum is σ = 273847392000. Its totient is φ = 51753116160.

The previous prime is 121233031987. The next prime is 121233032033. The reversal of 121233032032 is 230230332121.

It is a junction number, because it is equal to n+sod(n) for n = 121233031994 and 121233032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121233032033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108533938 + ... + 108535054.

It is an arithmetic number, because the mean of its divisors is an integer number (2852577000).

Almost surely, 2121233032032 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 121233032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136923696000).

121233032032 is an abundant number, since it is smaller than the sum of its proper divisors (152614359968).

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

121233032032 is a wasteful number, since it uses less digits than its factorization.

121233032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 121233032032 its reverse (230230332121), we get a palindrome (351463364153).

The spelling of 121233032032 in words is "one hundred twenty-one billion, two hundred thirty-three million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 499 971 998 1117 1942 1996 2234 3493 3884 3992 4468 6797 6986 7768 7819 7984 8936 13594 13972 15536 15638 15968 17872 27188 27944 31072 31276 35744 54376 55888 62552 108752 111776 125104 217504 250208 484529 557383 969058 1084607 1114766 1938116 2169214 2229532 3391703 3876232 3901681 4338428 4459064 6783406 7592249 7752464 7803362 8676856 8918128 13566812 15184498 15504928 15606724 17353712 17836256 27133624 30368996 31213448 34707424 54267248 60737992 62426896 108534496 121475984 124853792 242951968 541218893 1082437786 2164875572 3788532251 4329751144 7577064502 8659502288 15154129004 17319004576 30308258008 60616516016 121233032032