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12122020000 = 255417101353
BaseRepresentation
bin10110100101000011…
…10101100010100000
31011021210201102022201
423102201311202200
5144311214120000
65322504542544
7606252320116
oct132241654240
934253642281
1012122020000
115160623052
122423781a54
1311b2517ccc
1482dd01ab6
154ae32496a
hex2d28758a0

12122020000 has 240 divisors, whose sum is σ = 31979194632. Its totient is φ = 4505600000.

The previous prime is 12122019977. The next prime is 12122020069. The reversal of 12122020000 is 2022121.

It can be written as a sum of positive squares in 20 ways, for example, as 944455824 + 11177564176 = 30732^2 + 105724^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34339824 + ... + 34340176.

Almost surely, 212122020000 is an apocalyptic number.

12122020000 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 12122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989597316).

12122020000 is an abundant number, since it is smaller than the sum of its proper divisors (19857174632).

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

12122020000 is a wasteful number, since it uses less digits than its factorization.

12122020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12122020000 its reverse (2022121), we get a palindrome (12124042121).

The spelling of 12122020000 in words is "twelve billion, one hundred twenty-two million, twenty thousand".