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11201121012000 = 253537487124673
BaseRepresentation
bin1010001011111111011011…
…0101101100100100100000
31110122211001101022200011210
42202333312311230210200
52432004343434341000
635453420212510120
72234153135446023
oct242776665544440
943584041280153
1011201121012000
113629406887007
12130aa2891b340
13633351a6cb2a
142aa1cc4a51ba
15146578265350
hexa2ff6d6c920

11201121012000 has 192 divisors, whose sum is σ = 36700067948544. Its totient is φ = 2986542694400.

The previous prime is 11201121011933. The next prime is 11201121012041. The reversal of 11201121012000 is 21012110211.

It is a super-2 number, since 2×112011210120002 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89781664 + ... + 89906336.

It is an arithmetic number, because the mean of its divisors is an integer number (191146187232).

Almost surely, 211201121012000 is an apocalyptic number.

11201121012000 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 11201121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350033974272).

11201121012000 is an abundant number, since it is smaller than the sum of its proper divisors (25498946936544).

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

11201121012000 is a wasteful number, since it uses less digits than its factorization.

11201121012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132188 (or 132170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201121012000 its reverse (21012110211), we get a palindrome (11222133122211).

The spelling of 11201121012000 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, twelve thousand".