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12100122342 = 23271129437001
BaseRepresentation
bin10110100010011100…
…10011011011100110
31011020021111220101100
423101032103123212
5144240112403332
65320403340530
7605565225420
oct132116233346
934207456340
1012100122342
11514a227010
122418381746
1311aab1bc09
1482b041810
154ac44b67c
hex2d13936e6

12100122342 has 192 divisors, whose sum is σ = 34604444160. Its totient is φ = 2963520000.

The previous prime is 12100122323. The next prime is 12100122343. The reversal of 12100122342 is 24322100121.

It is a happy number.

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 (12100122343) 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, 1724842 + ... + 1731842.

It is an arithmetic number, because the mean of its divisors is an integer number (180231480).

Almost surely, 212100122342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100122342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302222080).

12100122342 is an abundant number, since it is smaller than the sum of its proper divisors (22504321818).

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

12100122342 is a wasteful number, since it uses less digits than its factorization.

12100122342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7099 (or 7096 counting only the distinct ones).

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

Adding to 12100122342 its reverse (24322100121), we get a palindrome (36422222463).

The spelling of 12100122342 in words is "twelve billion, one hundred million, one hundred twenty-two thousand, three hundred forty-two".