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12322011121300 = 22521154291067497
BaseRepresentation
bin1011001101001111000100…
…0110001000011010010100
31121121222021010210221120101
42303103301012020122110
53103340434321340200
642112353113543444
72411143631253226
oct263236106103224
947558233727511
1012322011121300
113a20810053341
121470108714b84
136b4c6476550a
14308562158416
151657ccba826a
hexb34f1188694

12322011121300 has 36 divisors (see below), whose sum is σ = 26739020828380. Its totient is φ = 4928757131520.

The previous prime is 12322011121279. The next prime is 12322011121331. The reversal of 12322011121300 is 312111022321.

It can be written as a sum of positive squares in 6 ways, for example, as 689354915076 + 11632656206224 = 830274^2 + 3410668^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11009152 + ... + 12076648.

Almost surely, 212322011121300 is an apocalyptic number.

12322011121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322011121300 is an abundant number, since it is smaller than the sum of its proper divisors (14417009707080).

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

12322011121300 is a wasteful number, since it uses less digits than its factorization.

12322011121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182940 (or 1182933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12322011121300 its reverse (312111022321), we get a palindrome (12634122143621).

The spelling of 12322011121300 in words is "twelve trillion, three hundred twenty-two billion, eleven million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 115429 230858 461716 577145 1067497 1154290 2134994 2308580 2885725 4269988 5337485 5771450 10674970 11542900 21349940 26687425 53374850 106749700 123220111213 246440222426 492880444852 616100556065 1232201112130 2464402224260 3080502780325 6161005560650 12322011121300