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12213323121300 = 223527101241337709
BaseRepresentation
bin1011000110111010001011…
…0010010100001010010100
31121020120201111011110211220
42301232202302110022110
53100100341204340200
641550420112530340
72400245350432530
oct261564262241224
947216644143756
1012213323121300
113989706557254
1214530352509b0
136a7933015592
143031b12dabc0
15162a6ad714a0
hexb1ba2c94294

12213323121300 has 576 divisors, whose sum is σ = 41133938926080. Its totient is φ = 2740469760000.

The previous prime is 12213323121283. The next prime is 12213323121343. The reversal of 12213323121300 is 312132331221.

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 191 ways as a sum of consecutive naturals, for example, 17226125346 + ... + 17226126054.

Almost surely, 212213323121300 is an apocalyptic number.

12213323121300 is a gapful number since it is divisible by the number (10) 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 12213323121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566969463040).

12213323121300 is an abundant number, since it is smaller than the sum of its proper divisors (28920615804780).

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

12213323121300 is a wasteful number, since it uses less digits than its factorization.

12213323121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12213323121300 its reverse (312132331221), we get a palindrome (12525455452521).

The spelling of 12213323121300 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-three million, one hundred twenty-one thousand, three hundred".