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121002330112 = 2111033311733
BaseRepresentation
bin111000010110001001…
…1010000100000000000
3102120022212020020220221
41300230103100200000
53440303044030422
6131330535512424
711512356556426
oct1605423204000
9376285206827
10121002330112
114735372a614
121b54b528714
13b544a5c001
145bdc4dd116
153232e973c7
hex1c2c4d0800

121002330112 has 96 divisors (see below), whose sum is σ = 245174005440. Its totient is φ = 59698298880.

The previous prime is 121002330083. The next prime is 121002330143. The reversal of 121002330112 is 211033200121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69821598 + ... + 69823330.

It is an arithmetic number, because the mean of its divisors is an integer number (2553895890).

Almost surely, 2121002330112 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 121002330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122587002720).

121002330112 is an abundant number, since it is smaller than the sum of its proper divisors (124171675328).

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

121002330112 is a wasteful number, since it uses less digits than its factorization.

121002330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121002330112 its reverse (211033200121), we get a palindrome (332035530233).

The spelling of 121002330112 in words is "one hundred twenty-one billion, two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 331 412 512 662 824 1024 1324 1648 1733 2048 2648 3296 3466 5296 6592 6932 10592 13184 13864 21184 26368 27728 34093 42368 52736 55456 68186 84736 105472 110912 136372 169472 178499 210944 221824 272744 338944 356998 443648 545488 573623 677888 713996 887296 1090976 1147246 1427992 1774592 2181952 2294492 2855984 3549184 4363904 4588984 5711968 8727808 9177968 11423936 17455616 18355936 22847872 34911232 36711872 45695744 59083169 69822464 73423744 91391488 118166338 146847488 182782976 236332676 293694976 365565952 472665352 587389952 945330704 1174779904 1890661408 3781322816 7562645632 15125291264 30250582528 60501165056 121002330112