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121111322112 = 2932113764577
BaseRepresentation
bin111000011001011001…
…1000001111000000000
3102120121110022121211200
41300302303001320000
53441013444301422
6131345431541200
711515152152364
oct1606263017000
9376543277750
10121111322112
11473aa202950
121b57bb2a800
13b561500611
145c0cb912a4
15323c8262ac
hex1c32cc1e00

121111322112 has 240 divisors, whose sum is σ = 391623206832. Its totient is φ = 35707944960.

The previous prime is 121111322093. The next prime is 121111322117. The reversal of 121111322112 is 211223111121.

It is a happy number.

121111322112 is a `hidden beast` number, since 121 + 111 + 322 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (32) and by the product (2304) of the squares of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111322117) 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, 1843168 + ... + 1907744.

Almost surely, 2121111322112 is an apocalyptic number.

121111322112 is a gapful number since it is divisible by the number (12) 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 121111322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195811603416).

121111322112 is an abundant number, since it is smaller than the sum of its proper divisors (270511884720).

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

121111322112 is a wasteful number, since it uses less digits than its factorization.

121111322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64649 (or 64630 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 121111322112 its reverse (211223111121), we get a palindrome (332334433233).

The spelling of 121111322112 in words is "one hundred twenty-one billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twelve".