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12022010103120 = 24352331379185369
BaseRepresentation
bin1010111011110001011110…
…1001000100010101010000
31120120021220112222012010220
42232330113221010111100
53033432034041244440
641322500222553040
72350363421550243
oct256742751042520
946507815865126
1012022010103120
113915562321076
121421b42a38780
1369289466b344
142d7c22c2d25a
1515cac03978d0
hexaef17a44550

12022010103120 has 320 divisors, whose sum is σ = 40249195315200. Its totient is φ = 2959718952960.

The previous prime is 12022010103091. The next prime is 12022010103121. The reversal of 12022010103120 is 2130101022021.

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 12022010103120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022010103121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64761796 + ... + 64947164.

It is an arithmetic number, because the mean of its divisors is an integer number (125778735360).

Almost surely, 212022010103120 is an apocalyptic number.

12022010103120 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 12022010103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124597657600).

12022010103120 is an abundant number, since it is smaller than the sum of its proper divisors (28227185212080).

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

12022010103120 is a wasteful number, since it uses less digits than its factorization.

12022010103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185818 (or 185812 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12022010103120 its reverse (2130101022021), we get a palindrome (14152111125141).

The spelling of 12022010103120 in words is "twelve trillion, twenty-two billion, ten million, one hundred three thousand, one hundred twenty".