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12000110121120 = 25351118049125921
BaseRepresentation
bin1010111010011111111001…
…0011010001000010100000
31120111012101022021211120110
42232213332103101002200
53033102211142333440
641304435142211320
72345656626020232
oct256477623210240
946435338254513
1012000110121120
1139072443594a0
121419850723b40
136907b4468104
142d6b46486252
1515c23c924080
hexae9fe4d10a0

12000110121120 has 192 divisors, whose sum is σ = 41239354262400. Its totient is φ = 2908933324800.

The previous prime is 12000110121119. The next prime is 12000110121173. The reversal of 12000110121120 is 2112101100021.

It is a super-2 number, since 2×120001101211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12000110121096 and 12000110121105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95235760 + ... + 95361680.

It is an arithmetic number, because the mean of its divisors is an integer number (214788303450).

Almost surely, 212000110121120 is an apocalyptic number.

12000110121120 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 12000110121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20619677131200).

12000110121120 is an abundant number, since it is smaller than the sum of its proper divisors (29239244141280).

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

12000110121120 is a wasteful number, since it uses less digits than its factorization.

12000110121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143999 (or 143991 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12000110121120 its reverse (2112101100021), we get a palindrome (14112211221141).

The spelling of 12000110121120 in words is "twelve trillion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".