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122112220122 = 2326784012229
BaseRepresentation
bin111000110111001110…
…1001001101111011010
3102200012012200111210100
41301232131021233122
54000041212020442
6132033024400230
711552024513364
oct1615635115732
9380165614710
10122112220122
114787318a392
121b7bb176076
13b690993469
145ca5a93d34
15329a63384c
hex1c6e749bda

122112220122 has 12 divisors (see below), whose sum is σ = 264576476970. Its totient is φ = 40704073368.

The previous prime is 122112220091. The next prime is 122112220123. The reversal of 122112220122 is 221022211221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 96181237161 + 25930982961 = 310131^2 + 161031^2 .

It is a super-2 number, since 2×1221122201222 (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), and also a Moran number because the ratio is a prime number: 6784012229 = 122112220122 / (1 + 2 + 2 + 1 + 1 + 2 + 2 + 2 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 122112220095 and 122112220104.

It is not an unprimeable number, because it can be changed into a prime (122112220123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3392006097 + ... + 3392006132.

Almost surely, 2122112220122 is an apocalyptic number.

122112220122 is an abundant number, since it is smaller than the sum of its proper divisors (142464256848).

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

122112220122 is a wasteful number, since it uses less digits than its factorization.

122112220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784012237 (or 6784012234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122112220122 its reverse (221022211221), we get a palindrome (343134431343).

The spelling of 122112220122 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 6784012229 13568024458 20352036687 40704073374 61056110061 122112220122