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12220220100000 = 253551129149857
BaseRepresentation
bin1011000111010011110111…
…1000001100110110100000
31121021020112011001021222110
42301310331320030312200
53100204002321200000
641553520331035320
72400611305664253
oct261647570146640
947236464037873
1012220220100000
113991625736450
12145443ab9bb40
136a8491b8a773
143036672bb09a
15162d215da850
hexb1d3de0cda0

12220220100000 has 1152 divisors, whose sum is σ = 45605143584000. Its totient is φ = 2837811200000.

The previous prime is 12220220099999. The next prime is 12220220100071. The reversal of 12220220100000 is 102202221.

12220220100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14259299572 + ... + 14259300428.

It is an arithmetic number, because the mean of its divisors is an integer number (39587798250).

Almost surely, 212220220100000 is an apocalyptic number.

12220220100000 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 12220220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22802571792000).

12220220100000 is an abundant number, since it is smaller than the sum of its proper divisors (33384923484000).

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

12220220100000 is a wasteful number, since it uses less digits than its factorization.

12220220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12220220100000 its reverse (102202221), we get a palindrome (12220322302221).

It can be divided in two parts, 122202 and 20100000, that added together give a palindrome (20222202).

The spelling of 12220220100000 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, one hundred thousand".