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12221122210000 = 24541131019091
BaseRepresentation
bin1011000111010111001110…
…1001011110100011010000
31121021022212000112020020221
42301311303221132203100
53100212324241210000
641554150034242424
72400642541541464
oct261656351364320
947238760466227
1012221122210000
113991a4897a000
121454651126414
136a85a6a42672
143037110264a4
15162d758d261a
hexb1d73a5e8d0

12221122210000 has 400 divisors, whose sum is σ = 32871036851136. Its totient is φ = 4399560000000.

The previous prime is 12221122209991. The next prime is 12221122210013. The reversal of 12221122210000 is 1222112221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1344305455 + ... + 1344314545.

Almost surely, 212221122210000 is an apocalyptic number.

12221122210000 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 12221122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435518425568).

12221122210000 is an abundant number, since it is smaller than the sum of its proper divisors (20649914641136).

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

12221122210000 is an equidigital number, since it uses as much as digits as its factorization.

12221122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221122210000 its reverse (1222112221), we get a palindrome (12222344322221).

12221122210000 divided by its reverse (1222112221) gives a 4-th power (10000 = 104).

It can be divided in two parts, 12221 and 122210000, that multiplied together give a square (1493528410000 = 12221002).

The spelling of 12221122210000 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand".