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111221200000 = 27551012753
BaseRepresentation
bin110011110010101001…
…1001101010010000000
3101122002012022100211201
41213211103031102000
53310240111400000
6123032212150544
711015110413211
oct1474523152200
9348065270751
10111221200000
1143194516809
121967b908454
13a646504a61
145551471408
152d5e41e96a
hex19e54cd480

111221200000 has 192 divisors, whose sum is σ = 279792795240. Its totient is φ = 44032000000.

The previous prime is 111221199979. The next prime is 111221200003. The reversal of 111221200000 is 2122111.

111221200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4198003264 + 107023196736 = 64792^2 + 327144^2 .

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 111221200000.

It is not an unprimeable number, because it can be changed into a prime (111221200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40398624 + ... + 40401376.

Almost surely, 2111221200000 is an apocalyptic number.

111221200000 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 111221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139896397620).

111221200000 is an abundant number, since it is smaller than the sum of its proper divisors (168571595240).

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

111221200000 is an frugal number, since it uses more digits than its factorization.

111221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2861 counting only the distinct ones).

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

Adding to 111221200000 its reverse (2122111), we get a palindrome (111223322111).

The spelling of 111221200000 in words is "one hundred eleven billion, two hundred twenty-one million, two hundred thousand".