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11120212110000 = 243547291012179
BaseRepresentation
bin1010000111010010000001…
…0010101110101010110000
31110101002012200221121000210
42201310200102232222300
52424143143300010000
635352315510144120
72225260136231250
oct241644022565260
943332180847023
1011120212110000
1135a8067918454
1212b7208652040
136288295457a6
142a6314b33960
151443e00ac350
hexa1d204aeab0

11120212110000 has 1200 divisors, whose sum is σ = 43104257222400. Its totient is φ = 2416243200000.

The previous prime is 11120212109999. The next prime is 11120212110071. The reversal of 11120212110000 is 1121202111.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62124089911 + ... + 62124090089.

It is an arithmetic number, because the mean of its divisors is an integer number (35920214352).

Almost surely, 211120212110000 is an apocalyptic number.

11120212110000 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 11120212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21552128611200).

11120212110000 is an abundant number, since it is smaller than the sum of its proper divisors (31984045112400).

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

11120212110000 is a wasteful number, since it uses less digits than its factorization.

11120212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 326 counting only the distinct ones).

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

Adding to 11120212110000 its reverse (1121202111), we get a palindrome (11121333312111).

The spelling of 11120212110000 in words is "eleven trillion, one hundred twenty billion, two hundred twelve million, one hundred ten thousand".