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122212102120 = 2353055302553
BaseRepresentation
bin111000111010001101…
…0001010111111101000
3102200110011122001010121
41301310122022333220
54000242244231440
6132050553253024
711554346504503
oct1616432127750
9380404561117
10122212102120
1147914600199
121b828704174
13b6a8595334
145cb505413a
1532a42b334a
hex1c7468afe8

122212102120 has 16 divisors (see below), whose sum is σ = 274977229860. Its totient is φ = 48884840832.

The previous prime is 122212102109. The next prime is 122212102147. The reversal of 122212102120 is 21201212221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100211499844 + 22000602276 = 316562^2 + 148326^2 .

It is a super-3 number, since 3×1222121021203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122212102094 and 122212102103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1527651237 + ... + 1527651316.

Almost surely, 2122212102120 is an apocalyptic number.

122212102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212102120 is an abundant number, since it is smaller than the sum of its proper divisors (152765127740).

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

122212102120 is a wasteful number, since it uses less digits than its factorization.

122212102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055302564 (or 3055302560 counting only the distinct ones).

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

Adding to 122212102120 its reverse (21201212221), we get a palindrome (143413314341).

The spelling of 122212102120 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3055302553 6110605106 12221210212 15276512765 24442420424 30553025530 61106051060 122212102120