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12211022210000 = 2454411011312251
BaseRepresentation
bin1011000110110001100110…
…1001000010001111010000
31121020100210010121001220212
42301230121221002033100
53100031133141210000
641545355520223252
72400134341134365
oct261543151021720
947210703531825
1012211022210000
113988735773569
1214526b276ab28
136a76574116c3
143030338b246c
15162983d6ec35
hexb1b19a423d0

12211022210000 has 400 divisors, whose sum is σ = 30832199487936. Its totient is φ = 4680000000000.

The previous prime is 12211022209993. The next prime is 12211022210017. The reversal of 12211022210000 is 1222011221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×122110222100002 (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 5424708875 + ... + 5424711125.

Almost surely, 212211022210000 is an apocalyptic number.

12211022210000 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 12211022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416099743968).

12211022210000 is an abundant number, since it is smaller than the sum of its proper divisors (18621177277936).

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

12211022210000 is a wasteful number, since it uses less digits than its factorization.

12211022210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12211022210000 its reverse (1222011221), we get a palindrome (12212244221221).

The spelling of 12211022210000 in words is "twelve trillion, two hundred eleven billion, twenty-two million, two hundred ten thousand".