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111222012000 = 25353114120551
BaseRepresentation
bin110011110010101011…
…0010011100001100000
3101122002020211121200210
41213211112103201200
53310240313341000
6123032241414120
711015120334441
oct1474526234140
9348066747623
10111222012000
1143194a20890
121968003a340
13a64672a528
1455516032c8
152d5e530350
hex19e5593860

111222012000 has 384 divisors, whose sum is σ = 407201872896. Its totient is φ = 26304000000.

The previous prime is 111222011933. The next prime is 111222012001. The reversal of 111222012000 is 210222111.

111222012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111222012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5401725 + ... + 5422275.

It is an arithmetic number, because the mean of its divisors is an integer number (1060421544).

Almost surely, 2111222012000 is an apocalyptic number.

111222012000 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 111222012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203600936448).

111222012000 is an abundant number, since it is smaller than the sum of its proper divisors (295979860896).

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

111222012000 is a wasteful number, since it uses less digits than its factorization.

111222012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20631 (or 20613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111222012000 its reverse (210222111), we get a palindrome (111432234111).

The spelling of 111222012000 in words is "one hundred eleven billion, two hundred twenty-two million, twelve thousand".