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12222220020120 = 233351123411576949
BaseRepresentation
bin1011000111011011010100…
…0101010010100110011000
31121021102200112020202122000
42301312311011102212120
53100222101311120440
641554451012201000
72401012002014205
oct261666505224630
947242615222560
1012222220020120
113992461628aa0
1214548b8909160
136a8720307656
143037b6b54cac
15162ddbe84730
hexb1db5152998

12222220020120 has 1024 divisors, whose sum is σ = 47817423360000. Its totient is φ = 2747005747200.

The previous prime is 12222220019993. The next prime is 12222220020139. The reversal of 12222220020120 is 2102002222221.

12222220020120 is a `hidden beast` number, since 1 + 2 + 222 + 220 + 0 + 201 + 20 = 666.

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 = 12222220020093 and 12222220020102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1758842406 + ... + 1758849354.

It is an arithmetic number, because the mean of its divisors is an integer number (46696702500).

Almost surely, 212222220020120 is an apocalyptic number.

12222220020120 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 12222220020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23908711680000).

12222220020120 is an abundant number, since it is smaller than the sum of its proper divisors (35595203339880).

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

12222220020120 is a wasteful number, since it uses less digits than its factorization.

12222220020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12222220020120 its reverse (2102002222221), we get a palindrome (14324222242341).

The spelling of 12222220020120 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty million, twenty thousand, one hundred twenty".