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12022121432412 = 22347213233768449
BaseRepresentation
bin1010111011110001111001…
…0001110000010101011100
31120120022012022110022020000
42232330132101300111130
53033432301041314122
641322515241054300
72350366243046400
oct256743621602534
946508168408200
1012022121432412
11391560a150453
121421b74187390
136928b174a770
142d7c3392d100
1515caca0390ac
hexaef1e47055c

12022121432412 has 720 divisors, whose sum is σ = 42194378318400. Its totient is φ = 2950803136512.

The previous prime is 12022121432381. The next prime is 12022121432423. The reversal of 12022121432412 is 21423412122021.

12022121432412 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 1 + 214 + 32 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 175601964 + ... + 175670412.

It is an arithmetic number, because the mean of its divisors is an integer number (58603303220).

Almost surely, 212022121432412 is an apocalyptic number.

12022121432412 is a gapful number since it is divisible by the number (12) 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 12022121432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097189159200).

12022121432412 is an abundant number, since it is smaller than the sum of its proper divisors (30172256885988).

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

12022121432412 is a wasteful number, since it uses less digits than its factorization.

12022121432412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68552 (or 68534 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12022121432412 its reverse (21423412122021), we get a palindrome (33445533554433).

The spelling of 12022121432412 in words is "twelve trillion, twenty-two billion, one hundred twenty-one million, four hundred thirty-two thousand, four hundred twelve".