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11122010200000 = 2655724326393
BaseRepresentation
bin1010000111011000101101…
…1101111001011111000000
31110101020212000101000210201
42201312023131321133000
52424210334102400000
635353214141334544
72225352531602200
oct241661335713700
943336760330721
1011122010200000
1135a88aa898047
1212b762a867454
13628a54c1737b
142a6445870400
15144497d8996a
hexa1d8b7797c0

11122010200000 has 504 divisors, whose sum is σ = 32837395553424. Its totient is φ = 3724439040000.

The previous prime is 11122010199947. The next prime is 11122010200003. The reversal of 11122010200000 is 201022111.

It is a super-2 number, since 2×111220102000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11122010200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122010200003) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 421386804 + ... + 421413196.

It is an arithmetic number, because the mean of its divisors is an integer number (65153562606).

Almost surely, 211122010200000 is an apocalyptic number.

11122010200000 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 11122010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418697776712).

11122010200000 is an abundant number, since it is smaller than the sum of its proper divisors (21715385353424).

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

11122010200000 is an frugal number, since it uses more digits than its factorization.

11122010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26487 (or 26450 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11122010200000 its reverse (201022111), we get a palindrome (11122211222111).

The spelling of 11122010200000 in words is "eleven trillion, one hundred twenty-two billion, ten million, two hundred thousand".