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11221021020000 = 2535411173132261
BaseRepresentation
bin1010001101001001100011…
…1110001100111101100000
31110201201102020200211012010
42203102120332030331200
52432321122340120000
635510511011032520
72235456234643041
oct243223076147540
943651366624163
1011221021020000
11363689891a610
12131286129b740
136351a38077ac
142ab15939c8c8
15146d4032dd50
hexa3498f8cf60

11221021020000 has 960 divisors, whose sum is σ = 43888080918528. Its totient is φ = 2477568000000.

The previous prime is 11221021019927. The next prime is 11221021020007. The reversal of 11221021020000 is 2012012211.

It is a super-2 number, since 2×112210210200002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221021020007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 347803870 + ... + 347836130.

Almost surely, 211221021020000 is an apocalyptic number.

11221021020000 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 11221021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21944040459264).

11221021020000 is an abundant number, since it is smaller than the sum of its proper divisors (32667059898528).

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

11221021020000 is a wasteful number, since it uses less digits than its factorization.

11221021020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32353 (or 32330 counting only the distinct ones).

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

Adding to 11221021020000 its reverse (2012012211), we get a palindrome (11223033032211).

The spelling of 11221021020000 in words is "eleven trillion, two hundred twenty-one billion, twenty-one million, twenty thousand".