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121000220112222 = 233112386322694523
BaseRepresentation
bin11011100000110010001111…
…001000110011010101011110
3120212102111201101101022122000
4123200302033020303111132
5111324431422322042342
61105202422253103130
734325656152644613
oct3340621710632536
9525374641338560
10121000220112222
11356109a5869730
12116a27a0a87aa6
13526936c1a2019
1421c462881250a
15dec76039a44c
hex6e0c8f23355e

121000220112222 has 256 divisors, whose sum is σ = 306645029683200. Its totient is φ = 35008706113920.

The previous prime is 121000220112221. The next prime is 121000220112269. The reversal of 121000220112222 is 222211022000121.

It is a happy number.

121000220112222 is a `hidden beast` number, since 1 + 210 + 0 + 0 + 220 + 1 + 12 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121000220112195 and 121000220112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000220112221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26752202053 + ... + 26752206575.

It is an arithmetic number, because the mean of its divisors is an integer number (1197832147200).

Almost surely, 2121000220112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000220112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153322514841600).

121000220112222 is an abundant number, since it is smaller than the sum of its proper divisors (185644809570978).

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

121000220112222 is a wasteful number, since it uses less digits than its factorization.

121000220112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7694 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121000220112222 its reverse (222211022000121), we get a palindrome (343211242112343).

The spelling of 121000220112222 in words is "one hundred twenty-one trillion, two hundred twenty million, one hundred twelve thousand, two hundred twenty-two".