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122112211212 = 22323664392569
BaseRepresentation
bin111000110111001110…
…1000111100100001100
3102200012012200001120100
41301232131013210030
54000041211224322
6132033024251100
711552024445405
oct1615635074414
9380165601510
10122112211212
1147873183722
121b7bb170a90
13b69098c3a4
145ca5a909ac
15329a630dac
hex1c6e74790c

122112211212 has 36 divisors (see below), whose sum is σ = 308684292280. Its totient is φ = 40702519872.

The previous prime is 122112211163. The next prime is 122112211219. The reversal of 122112211212 is 212112211221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1221122112122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (122112211219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272864 + ... + 1365432.

Almost surely, 2122112211212 is an apocalyptic number.

122112211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112211212 is an abundant number, since it is smaller than the sum of its proper divisors (186572081068).

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

122112211212 is a wasteful number, since it uses less digits than its factorization.

122112211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129222 (or 129217 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 122112211212 its reverse (212112211221), we get a palindrome (334224422433).

Subtracting 122112211212 from its reverse (212112211221), we obtain a palindrome (90000000009).

The spelling of 122112211212 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 36643 73286 92569 109929 146572 185138 219858 277707 329787 370276 439716 555414 659574 833121 1110828 1319148 1666242 3332484 3392005867 6784011734 10176017601 13568023468 20352035202 30528052803 40704070404 61056105606 122112211212