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122021122122 = 232171013948137
BaseRepresentation
bin111000110100100000…
…1101001000001001010
3102122221212021020211100
41301221001221001022
53444344401401442
6132020012042230
711546540265504
oct1615101510112
9378855236740
10122021122122
1147826819089
121b794763376
13b677b48813
145c9793cd74
15329263b84c
hex1c6906904a

122021122122 has 48 divisors (see below), whose sum is σ = 282702473352. Its totient is φ = 37902105600.

The previous prime is 122021122121. The next prime is 122021122151. The reversal of 122021122122 is 221221120221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104737024161 + 17284097961 = 323631^2 + 131469^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 122021122095 and 122021122104.

It is not an unprimeable number, because it can be changed into a prime (122021122121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1943163 + ... + 2004974.

Almost surely, 2122021122122 is an apocalyptic number.

122021122122 is an abundant number, since it is smaller than the sum of its proper divisors (160681351230).

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

122021122122 is a wasteful number, since it uses less digits than its factorization.

122021122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948263 (or 3948260 counting only the distinct ones).

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

Adding to 122021122122 its reverse (221221120221), we get a palindrome (343242242343).

The spelling of 122021122122 in words is "one hundred twenty-two billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1818 3434 5151 10302 15453 30906 3948137 7896274 11844411 23688822 35533233 67118329 71066466 134236658 201354987 398761837 402709974 604064961 797523674 1196285511 1208129922 2392571022 3588856533 6778951229 7177713066 13557902458 20336853687 40673707374 61010561061 122021122122