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12122022120 = 233513231312579
BaseRepresentation
bin10110100101000011…
…10110000011101000
31011021210201112020020
423102201312003220
5144311214201440
65322505000440
7606252326235
oct132241660350
934253645206
1012122022120
1151606246aa
122423783120
1311b2518c70
1482dd0278c
154ae3253d0
hex2d28760e8

12122022120 has 256 divisors, whose sum is σ = 41194137600. Its totient is φ = 2831262720.

The previous prime is 12122022119. The next prime is 12122022131. The reversal of 12122022120 is 2122022121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122022120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4698991 + ... + 4701569.

It is an arithmetic number, because the mean of its divisors is an integer number (160914600).

Almost surely, 212122022120 is an apocalyptic number.

12122022120 is a gapful number since it is divisible by the number (10) 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 12122022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20597068800).

12122022120 is an abundant number, since it is smaller than the sum of its proper divisors (29072115480).

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

12122022120 is a wasteful number, since it uses less digits than its factorization.

12122022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122022120 its reverse (2122022121), we get a palindrome (14244044241).

Subtracting from 12122022120 its reverse (2122022121), we obtain a palindrome (9999999999).

The spelling of 12122022120 in words is "twelve billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".