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12322220000112 = 243211371491411061
BaseRepresentation
bin1011001101001111110110…
…0010111100001101110000
31121121222210200212002102200
42303103331202330031300
53103341401310000422
642112425534543200
72411152045560321
oct263237542741560
947558720762380
1012322220000112
113a20907a50060
121470166667b00
136b4c98b0ac49
14308581bac448
151657e11b82ac
hexb34fd8bc370

12322220000112 has 240 divisors, whose sum is σ = 38896206242400. Its totient is φ = 3608701286400.

The previous prime is 12322220000071. The next prime is 12322220000113. The reversal of 12322220000112 is 21100002222321.

12322220000112 is a `hidden beast` number, since 12 + 322 + 220 + 0 + 0 + 0 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322220000113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8027062 + ... + 9438122.

It is an arithmetic number, because the mean of its divisors is an integer number (162067526010).

Almost surely, 212322220000112 is an apocalyptic number.

12322220000112 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 12322220000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448103121200).

12322220000112 is an abundant number, since it is smaller than the sum of its proper divisors (26573986242288).

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

12322220000112 is a wasteful number, since it uses less digits than its factorization.

12322220000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411272 (or 1411263 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12322220000112 its reverse (21100002222321), we get a palindrome (33422222222433).

The spelling of 12322220000112 in words is "twelve trillion, three hundred twenty-two billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.