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11212300332000 = 2532531381225527
BaseRepresentation
bin1010001100101001000100…
…1011011010101111100000
31110200212220111011222012200
42203022101023122233200
52432200242341111000
635502505404253200
72235030153215505
oct243122113325740
943625814158180
1011212300332000
113633123262649
121311028841200
13634413b90991
142aa96d0d34ac
151469ce926500
hexa32912dabe0

11212300332000 has 288 divisors, whose sum is σ = 39821444679744. Its totient is φ = 2987768448000.

The previous prime is 11212300331993. The next prime is 11212300332011. The reversal of 11212300332000 is 23300321211.

11212300332000 is a `hidden beast` number, since 11 + 21 + 2 + 300 + 332 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49603237 + ... + 49828763.

It is an arithmetic number, because the mean of its divisors is an integer number (138268905138).

Almost surely, 211212300332000 is an apocalyptic number.

11212300332000 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 11212300332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910722339872).

11212300332000 is an abundant number, since it is smaller than the sum of its proper divisors (28609144347744).

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

11212300332000 is a wasteful number, since it uses less digits than its factorization.

11212300332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226939 (or 226918 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11212300332000 its reverse (23300321211), we get a palindrome (11235600653211).

The spelling of 11212300332000 in words is "eleven trillion, two hundred twelve billion, three hundred million, three hundred thirty-two thousand".