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122221202220 = 2232513243223419
BaseRepresentation
bin111000111010011110…
…0111000101100101100
3102200110210202101010100
41301310330320230230
54000302111432340
6132051520311100
711554520035425
oct1616474705454
9380423671110
10122221202220
1147919756237
121b82b772490
13b6aa430400
145cb634264c
1532a4eae830
hex1c74f38b2c

122221202220 has 432 divisors, whose sum is σ = 413612559360. Its totient is φ = 29183970816.

The previous prime is 122221202189. The next prime is 122221202221. The reversal of 122221202220 is 22202122221.

122221202220 is a `hidden beast` number, since 1 + 22 + 221 + 202 + 220 = 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 = 122221202193 and 122221202202.

It is not an unprimeable number, because it can be changed into a prime (122221202221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291697171 + ... + 291697589.

It is an arithmetic number, because the mean of its divisors is an integer number (957436480).

Almost surely, 2122221202220 is an apocalyptic number.

122221202220 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 122221202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206806279680).

122221202220 is an abundant number, since it is smaller than the sum of its proper divisors (291391357140).

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

122221202220 is a wasteful number, since it uses less digits than its factorization.

122221202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122221202220 its reverse (22202122221), we get a palindrome (144423324441).

The spelling of 122221202220 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty".