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12012211200000 = 2133551159241
BaseRepresentation
bin1010111011001100111110…
…0101001110000000000000
31120112100121122121100002010
42232303033211032000000
53033302002031400000
641314200022252520
72346565535341464
oct256631745160000
946470548540063
1012012211200000
113911394079130
121420069287140
1369199253050b
142d75736964a4
1515c6e9eadd50
hexaeccf94e000

12012211200000 has 1344 divisors, whose sum is σ = 44599862926080. Its totient is φ = 2850816000000.

The previous prime is 12012211199999. The next prime is 12012211200013. The reversal of 12012211200000 is 211221021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 49843199880 + ... + 49843200120.

It is an arithmetic number, because the mean of its divisors is an integer number (33184421820).

Almost surely, 212012211200000 is an apocalyptic number.

12012211200000 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 12012211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22299931463040).

12012211200000 is an abundant number, since it is smaller than the sum of its proper divisors (32587651726080).

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

12012211200000 is an frugal number, since it uses more digits than its factorization.

12012211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012211200000 its reverse (211221021), we get a palindrome (12012422421021).

The spelling of 12012211200000 in words is "twelve trillion, twelve billion, two hundred eleven million, two hundred thousand".