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121002222312 = 23321680586421
BaseRepresentation
bin111000010110001001…
…0110110001011101000
3102120022212000210001100
41300230102312023220
53440303032103222
6131330533321400
711512355630226
oct1605422661350
9376285023040
10121002222312
1147353666624
121b54b496260
13b544a21c1a
145bdc4b1b16
153232e754ac
hex1c2c4b62e8

121002222312 has 24 divisors (see below), whose sum is σ = 327714352290. Its totient is φ = 40334074080.

The previous prime is 121002222293. The next prime is 121002222331. The reversal of 121002222312 is 213222200121.

121002222312 is a `hidden beast` number, since 1 + 210 + 0 + 222 + 231 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (121002222293) and next prime (121002222331).

It can be written as a sum of positive squares in only one way, i.e., 116549863236 + 4452359076 = 341394^2 + 66726^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 840293139 + ... + 840293282.

Almost surely, 2121002222312 is an apocalyptic number.

121002222312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121002222312 is an abundant number, since it is smaller than the sum of its proper divisors (206712129978).

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

121002222312 is a wasteful number, since it uses less digits than its factorization.

121002222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680586433 (or 1680586426 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121002222312 its reverse (213222200121), we get a palindrome (334224422433).

The spelling of 121002222312 in words is "one hundred twenty-one billion, two million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1680586421 3361172842 5041759263 6722345684 10083518526 13444691368 15125277789 20167037052 30250555578 40334074104 60501111156 121002222312