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122200211221 = 1121009919101
BaseRepresentation
bin111000111001110110…
…0110011111100010101
3102200102100020220212221
41301303230303330111
54000231223224341
6132045450342341
711554143441244
oct1616354637425
9380370226787
10122200211221
1147908919400
121b82472a9b1
13b6a5c90bba
145cb363a95b
1532a3214ed1
hex1c73b33f15

122200211221 has 6 divisors (see below), whose sum is σ = 134319240566. Its totient is φ = 111091101000.

The previous prime is 122200211219. The next prime is 122200211251. The reversal of 122200211221 is 122112002221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 119498810596 + 2701400625 = 345686^2 + 51975^2 .

It is not a de Polignac number, because 122200211221 - 21 = 122200211219 is a prime.

It is a super-3 number, since 3×1222002112213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122200211195 and 122200211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200211201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504959430 + ... + 504959671.

Almost surely, 2122200211221 is an apocalyptic number.

122200211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122200211221 is a deficient number, since it is larger than the sum of its proper divisors (12119029345).

122200211221 is a wasteful number, since it uses less digits than its factorization.

122200211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009919123 (or 1009919112 counting only the distinct ones).

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

Adding to 122200211221 its reverse (122112002221), we get a palindrome (244312213442).

The spelling of 122200211221 in words is "one hundred twenty-two billion, two hundred million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 121 1009919101 11109110111 122200211221