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122110222120 = 2356150045173
BaseRepresentation
bin111000110111001010…
…1100001111100101000
3102200012001221000001021
41301232111201330220
54000040204101440
6132032513502224
711552001522325
oct1615625417450
9380161830037
10122110222120
1147872045247
121b7ba571974
13b690443c03
145ca56d3b4c
15329a38b84a
hex1c6e561f28

122110222120 has 32 divisors (see below), whose sum is σ = 279252070920. Its totient is φ = 48043365120.

The previous prime is 122110222049. The next prime is 122110222133. The reversal of 122110222120 is 21222011221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58566904036 + 63543318084 = 242006^2 + 252078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122110222094 and 122110222103.

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 7 ways as a sum of consecutive naturals, for example, 25020147 + ... + 25025026.

Almost surely, 2122110222120 is an apocalyptic number.

122110222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110222120 is an abundant number, since it is smaller than the sum of its proper divisors (157141848800).

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

122110222120 is a wasteful number, since it uses less digits than its factorization.

122110222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50045245 (or 50045241 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122110222120 its reverse (21222011221), we get a palindrome (143332233341).

The spelling of 122110222120 in words is "one hundred twenty-two billion, one hundred ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 50045173 100090346 200180692 250225865 400361384 500451730 1000903460 2001806920 3052755553 6105511106 12211022212 15263777765 24422044424 30527555530 61055111060 122110222120