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122122121212 = 2272132329181397
BaseRepresentation
bin111000110111100001…
…0111010111111111100
3102200012220022112112101
41301233002322333330
54000101230334322
6132034020514444
711552204621500
oct1615702727774
9380186275471
10122122121212
1147878832203
121b80254ba24
13b692a4bcb0
145ca7110300
15329b43c327
hex1c6f0baffc

122122121212 has 288 divisors, whose sum is σ = 291331797120. Its totient is φ = 44259747840.

The previous prime is 122122121203. The next prime is 122122121237. The reversal of 122122121212 is 212121221221.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122122121212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307612198 + ... + 307612594.

It is an arithmetic number, because the mean of its divisors is an integer number (1011568740).

Almost surely, 2122122121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145665898560).

122122121212 is an abundant number, since it is smaller than the sum of its proper divisors (169209675908).

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

122122121212 is a wasteful number, since it uses less digits than its factorization.

122122121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

Adding to 122122121212 its reverse (212121221221), we get a palindrome (334243342433).

The spelling of 122122121212 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twelve".