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11120000012000 = 255311327177263
BaseRepresentation
bin1010000111010001001110…
…1001101000111011100000
31110101001122220211220021022
42201310103221220323200
52424142230000341000
635352242452145012
72225251652355605
oct241642351507340
943331586756238
1011120000012000
1135a7a69122050
1212b7169608168
136287c4613a09
142a62d48c26ac
151443cb663585
hexa1d13a68ee0

11120000012000 has 192 divisors, whose sum is σ = 29815141644288. Its totient is φ = 4042347840000.

The previous prime is 11120000011927. The next prime is 11120000012053. The reversal of 11120000012000 is 21000002111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143885369 + ... + 143962631.

It is an arithmetic number, because the mean of its divisors is an integer number (155287196064).

Almost surely, 211120000012000 is an apocalyptic number.

11120000012000 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 11120000012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14907570822144).

11120000012000 is an abundant number, since it is smaller than the sum of its proper divisors (18695141632288).

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

11120000012000 is a wasteful number, since it uses less digits than its factorization.

11120000012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80570 (or 80552 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11120000012000 its reverse (21000002111), we get a palindrome (11141000014111).

The spelling of 11120000012000 in words is "eleven trillion, one hundred twenty billion, twelve thousand".