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221112221121120 = 25357148144434307
BaseRepresentation
bin110010010001100110110011…
…011001010011101001100000
31001222220010021212100121110110
4302101212303121103221200
5212440200312101333440
62102133315130131320
764400554652023620
oct6221466331235140
91058803255317413
10221112221121120
11644a919149157a
1220971043580b40
13964ba402534a4
143c85c62486880
151a86982774080
hexc919b3653a60

221112221121120 has 192 divisors, whose sum is σ = 796541491339776. Its totient is φ = 50505809571840.

The previous prime is 221112221121107. The next prime is 221112221121167. The reversal of 221112221121120 is 21121122211122.

It is a super-2 number, since 2×2211122211211202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17240994 + ... + 27193313.

It is an arithmetic number, because the mean of its divisors is an integer number (4148653600728).

Almost surely, 2221112221121120 is an apocalyptic number.

221112221121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112221121120 is an abundant number, since it is smaller than the sum of its proper divisors (575429270218656).

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

221112221121120 is a wasteful number, since it uses less digits than its factorization.

221112221121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44435813 (or 44435805 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 221112221121120 its reverse (21121122211122), we get a palindrome (242233343332242).

The spelling of 221112221121120 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".