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12211011200000 = 21055191071877
BaseRepresentation
bin1011000110110001100011…
…1111000010010000000000
31121020100202100212201001002
42301230120333002100000
53100031122331400000
641545354444231132
72400134145430304
oct261543077022000
947210670781032
1012211011200000
11398872a533598
1214526aab3b4a8
136a7655058202
14303032247d04
15162982de78d5
hexb1b18fc2400

12211011200000 has 528 divisors, whose sum is σ = 32433918471360. Its totient is φ = 4581642240000.

The previous prime is 12211011199979. The next prime is 12211011200033. The reversal of 12211011200000 is 211011221.

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 47 ways as a sum of consecutive naturals, for example, 6505599062 + ... + 6505600938.

Almost surely, 212211011200000 is an apocalyptic number.

12211011200000 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 12211011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216959235680).

12211011200000 is an abundant number, since it is smaller than the sum of its proper divisors (20222907271360).

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

12211011200000 is an equidigital number, since it uses as much as digits as its factorization.

12211011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12211011200000 its reverse (211011221), we get a palindrome (12211222211221).

The spelling of 12211011200000 in words is "twelve trillion, two hundred eleven billion, eleven million, two hundred thousand".