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122112211220 = 2256105610561
BaseRepresentation
bin111000110111001110…
…1000111100100010100
3102200012012200001120122
41301232131013210110
54000041211224340
6132033024251112
711552024445416
oct1615635074424
9380165601518
10122112211220
114787318372a
121b7bb170a98
13b69098c3ac
145ca5a909b6
15329a630db5
hex1c6e747914

122112211220 has 12 divisors (see below), whose sum is σ = 256435643604. Its totient is φ = 48844884480.

The previous prime is 122112211219. The next prime is 122112211313. The reversal of 122112211220 is 22112211221.

It can be written as a sum of positive squares in 2 ways, for example, as 17942066704 + 104170144516 = 133948^2 + 322754^2 .

It is a super-2 number, since 2×1221122112202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3052805261 + ... + 3052805300.

It is an arithmetic number, because the mean of its divisors is an integer number (21369636967).

Almost surely, 2122112211220 is an apocalyptic number.

122112211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112211220 is an abundant number, since it is smaller than the sum of its proper divisors (134323432384).

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

122112211220 is a wasteful number, since it uses less digits than its factorization.

122112211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105610570 (or 6105610568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122112211220 its reverse (22112211221), we get a palindrome (144224422441).

Subtracting from 122112211220 its reverse (22112211221), we obtain a palindrome (99999999999).

The spelling of 122112211220 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6105610561 12211221122 24422442244 30528052805 61056105610 122112211220