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12141202122 = 232719101149337
BaseRepresentation
bin10110100111010110…
…00000101011001010
31011100010210222020200
423103223000223022
5144331121431442
65324432033030
7606604341510
oct132353005312
934303728220
1012141202122
115170434945
12242a092776
1311b64a308a
148326964b0
154b0d6334c
hex2d3ac0aca

12141202122 has 192 divisors, whose sum is σ = 32269536000. Its totient is φ = 3222374400.

The previous prime is 12141202093. The next prime is 12141202123. The reversal of 12141202122 is 22120214121.

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 = 12141202095 and 12141202104.

It is not an unprimeable number, because it can be changed into a prime (12141202123) 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, 36027138 + ... + 36027474.

It is an arithmetic number, because the mean of its divisors is an integer number (168070500).

Almost surely, 212141202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134768000).

12141202122 is an abundant number, since it is smaller than the sum of its proper divisors (20128333878).

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

12141202122 is a wasteful number, since it uses less digits than its factorization.

12141202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12141202122 its reverse (22120214121), we get a palindrome (34261416243).

The spelling of 12141202122 in words is "twelve billion, one hundred forty-one million, two hundred two thousand, one hundred twenty-two".