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12211012020000 = 25354297017823
BaseRepresentation
bin1011000110110001100100…
…0010001010011100100000
31121020100202102102100212110
42301230121002022130200
53100031123034120000
641545354513555320
72400134155414053
oct261543102123440
947210672370773
1012211012020000
11398872aa43682
1214526ab275b40
136a7655284511
143030323bca9a
1516298300a850
hexb1b1908a720

12211012020000 has 240 divisors, whose sum is σ = 41435759312640. Its totient is φ = 3143984256000.

The previous prime is 12211012019993. The next prime is 12211012020007. The reversal of 12211012020000 is 2021011221.

It is an interprime number because it is at equal distance from previous prime (12211012019993) and next prime (12211012020007).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (12211012020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1768912 + ... + 5248911.

It is an arithmetic number, because the mean of its divisors is an integer number (172648997136).

Almost surely, 212211012020000 is an apocalyptic number.

12211012020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211012020000 is an abundant number, since it is smaller than the sum of its proper divisors (29224747292640).

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

12211012020000 is an equidigital number, since it uses as much as digits as its factorization.

12211012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017885 (or 7017862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12211012020000 its reverse (2021011221), we get a palindrome (12213033031221).

The spelling of 12211012020000 in words is "twelve trillion, two hundred eleven billion, twelve million, twenty thousand".