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11221121212000 = 255373117972221
BaseRepresentation
bin1010001101001001111011…
…1100011001111001100000
31110201201200020020002202221
42203102132330121321200
52432321324012241000
635510524550320424
72235461562365020
oct243223674317140
943651606202687
1011221121212000
11363693a432317
12131288a959114
136351bb4b77bb
142ab1687dda80
15146d4902061a
hexa349ef19e60

11221121212000 has 384 divisors, whose sum is σ = 32707483361280. Its totient is φ = 3702286080000.

The previous prime is 11221121211997. The next prime is 11221121212079. The reversal of 11221121212000 is 21212112211.

11221121212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112211212120002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155335890 + ... + 155408110.

It is an arithmetic number, because the mean of its divisors is an integer number (85175737920).

Almost surely, 211221121212000 is an apocalyptic number.

11221121212000 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 11221121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353741680640).

11221121212000 is an abundant number, since it is smaller than the sum of its proper divisors (21486362149280).

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

11221121212000 is a wasteful number, since it uses less digits than its factorization.

11221121212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72463 (or 72445 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11221121212000 its reverse (21212112211), we get a palindrome (11242333324211).

It can be divided in two parts, 112 and 21121212000, that added together give a palindrome (21121212112).

The spelling of 11221121212000 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand".