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122201211220 = 2251123371643
BaseRepresentation
bin111000111001111000…
…0101000000101010100
3102200102102010201121221
41301303300220011110
54000232002224340
6132045524020124
711554155104554
oct1616360500524
9380372121557
10122201211220
1147909441750
121b824b31644
13b6a625110a
145cb381b164
1532a336144a
hex1c73c28154

122201211220 has 192 divisors, whose sum is σ = 297259683840. Its totient is φ = 41840937600.

The previous prime is 122201211199. The next prime is 122201211233. The reversal of 122201211220 is 22112102221.

It is a happy number.

122201211220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122201211194 and 122201211203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190048219 + ... + 190048861.

It is an arithmetic number, because the mean of its divisors is an integer number (1548227520).

Almost surely, 2122201211220 is an apocalyptic number.

122201211220 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 122201211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148629841920).

122201211220 is an abundant number, since it is smaller than the sum of its proper divisors (175058472620).

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

122201211220 is a wasteful number, since it uses less digits than its factorization.

122201211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 755 counting only the distinct ones).

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

Adding to 122201211220 its reverse (22112102221), we get a palindrome (144313313441).

The spelling of 122201211220 in words is "one hundred twenty-two billion, two hundred one million, two hundred eleven thousand, two hundred twenty".