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12320000122122 = 232711291492057137
BaseRepresentation
bin1011001101000111100100…
…1110110001110100001010
31121121210001222202121022100
42303101321032301310022
53103322330012401442
642111421355134230
72411043042120660
oct263217116616412
947553058677270
1012320000122122
113a1a978983950
12146b847144376
136b4a03c39884
14308411038c30
1516571137184c
hexb34793b1d0a

12320000122122 has 192 divisors, whose sum is σ = 34658661024000. Its totient is φ = 3068917770240.

The previous prime is 12320000122091. The next prime is 12320000122123. The reversal of 12320000122122 is 22122100002321.

12320000122122 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12320000122095 and 12320000122104.

It is not an unprimeable number, because it can be changed into a prime (12320000122123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4960338 + ... + 7017474.

It is an arithmetic number, because the mean of its divisors is an integer number (180513859500).

Almost surely, 212320000122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320000122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329330512000).

12320000122122 is an abundant number, since it is smaller than the sum of its proper divisors (22338660901878).

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

12320000122122 is a wasteful number, since it uses less digits than its factorization.

12320000122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057341 (or 2057338 counting only the distinct ones).

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

Adding to 12320000122122 its reverse (22122100002321), we get a palindrome (34442100124443).

The spelling of 12320000122122 in words is "twelve trillion, three hundred twenty billion, one hundred twenty-two thousand, one hundred twenty-two".