Search a number
-
+
122112221021 = 767260367209
BaseRepresentation
bin111000110111001110…
…1001001111101011101
3102200012012200120000122
41301232131021331131
54000041212033041
6132033024404325
711552024516120
oct1615635117535
9380165616018
10122112221021
114787319002a
121b7bb1766a5
13b6909939ab
145ca5a943b7
15329a633c4b
hex1c6e749f5d

122112221021 has 8 divisors (see below), whose sum is σ = 141639762240. Its totient is φ = 103105414368.

The previous prime is 122112221017. The next prime is 122112221081. The reversal of 122112221021 is 120122211221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122112221021 - 22 = 122112221017 is a prime.

It is a super-3 number, since 3×1221122210213 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112221081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130183136 + ... + 130184073.

It is an arithmetic number, because the mean of its divisors is an integer number (17704970280).

Almost surely, 2122112221021 is an apocalyptic number.

It is an amenable number.

122112221021 is a deficient number, since it is larger than the sum of its proper divisors (19527541219).

122112221021 is an equidigital number, since it uses as much as digits as its factorization.

122112221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260367283.

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

Adding to 122112221021 its reverse (120122211221), we get a palindrome (242234432242).

The spelling of 122112221021 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 7 67 469 260367209 1822570463 17444603003 122112221021