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12121322220 = 223357103163191
BaseRepresentation
bin10110100100111110…
…01011001011101100
31011021202101222011000
423102133023023230
5144311024302340
65322442000300
7606243352560
oct132237131354
934252358130
1012121322220
115160196877
1224234a6090
1311b2332517
1482db9d6a0
154ae237d30
hex2d27cb2ec

12121322220 has 384 divisors, whose sum is σ = 44012666880. Its totient is φ = 2712579840.

The previous prime is 12121322209. The next prime is 12121322221. The reversal of 12121322220 is 2222312121.

12121322220 is a `hidden beast` number, since 1 + 2 + 121 + 322 + 220 = 666.

It is a super-2 number, since 2×121213222202 (a number of 21 digits) contains 22 as substring.

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 = 12121322193 and 12121322202.

It is not an unprimeable number, because it can be changed into a prime (12121322221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63462325 + ... + 63462515.

It is an arithmetic number, because the mean of its divisors is an integer number (114616320).

Almost surely, 212121322220 is an apocalyptic number.

12121322220 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 12121322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22006333440).

12121322220 is an abundant number, since it is smaller than the sum of its proper divisors (31891344660).

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

12121322220 is a wasteful number, since it uses less digits than its factorization.

12121322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

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

Adding to 12121322220 its reverse (2222312121), we get a palindrome (14343634341).

The spelling of 12121322220 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred twenty".