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12022012123002 = 23271719107225801
BaseRepresentation
bin1010111011110001011111…
…0000110001011101111010
31120120021220200202210220100
42232330113300301131322
53033432040100414002
641322500334140230
72350363444662150
oct256742760613572
946507820683810
1012022012123002
1139155634806a2
121421b43651676
13692894bc783b
142d7c231d73d0
1515cac064611c
hexaef17c3177a

12022012123002 has 288 divisors, whose sum is σ = 33493117956480. Its totient is φ = 3033921484800.

The previous prime is 12022012122977. The next prime is 12022012123027. The reversal of 12022012123002 is 20032121022021.

12022012123002 is a `hidden beast` number, since 1 + 20 + 220 + 121 + 2 + 300 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12022012122977) and next prime (12022012123027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 465938502 + ... + 465964302.

It is an arithmetic number, because the mean of its divisors is an integer number (116295548460).

Almost surely, 212022012123002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022012123002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746558978240).

12022012123002 is an abundant number, since it is smaller than the sum of its proper divisors (21471105833478).

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

12022012123002 is a wasteful number, since it uses less digits than its factorization.

12022012123002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26066 (or 25956 counting only the distinct ones).

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

Adding to 12022012123002 its reverse (20032121022021), we get a palindrome (32054133145023).

The spelling of 12022012123002 in words is "twelve trillion, twenty-two billion, twelve million, one hundred twenty-three thousand, two".