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12122312220000 = 253254372776571
BaseRepresentation
bin1011000001100111001000…
…0111010001110101100000
31120220212210210002122211200
42300121302013101311200
53042102443412020000
641440525141241200
72360544124513053
oct260316207216540
946825723078750
1012122312220000
113954053247044
121439475a03200
1369c18a93a268
142dca1a054a9a
151604e0dad500
hexb06721d1d60

12122312220000 has 720 divisors, whose sum is σ = 44407966114512. Its totient is φ = 3133416960000.

The previous prime is 12122312219993. The next prime is 12122312220079. The reversal of 12122312220000 is 2221322121.

12122312220000 is a `hidden beast` number, since 1 + 212 + 231 + 2 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×121223122200002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1844816715 + ... + 1844823285.

Almost surely, 212122312220000 is an apocalyptic number.

12122312220000 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 12122312220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22203983057256).

12122312220000 is an abundant number, since it is smaller than the sum of its proper divisors (32285653894512).

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

12122312220000 is a wasteful number, since it uses less digits than its factorization.

12122312220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6895 counting only the distinct ones).

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

Adding to 12122312220000 its reverse (2221322121), we get a palindrome (12124533542121).

The spelling of 12122312220000 in words is "twelve trillion, one hundred twenty-two billion, three hundred twelve million, two hundred twenty thousand".