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122112102020 = 22524125334461
BaseRepresentation
bin111000110111001110…
…0101100111010000100
3102200012012110111210012
41301232130230322010
54000041144231040
6132033022045352
711552023512146
oct1615634547204
9380165414705
10122112102020
1147873109687
121b7bb119858
13b69095178c
145ca5a62c96
15329a60d865
hex1c6e72ce84

122112102020 has 24 divisors (see below), whose sum is σ = 257499471768. Its totient is φ = 48642163200.

The previous prime is 122112101989. The next prime is 122112102037. The reversal of 122112102020 is 20201211221.

It can be written as a sum of positive squares in 4 ways, for example, as 41356103044 + 80755998976 = 203362^2 + 284176^2 .

It is a super-2 number, since 2×1221121020202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112101986 and 122112102004.

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, 12662411 + ... + 12672050.

It is an arithmetic number, because the mean of its divisors is an integer number (10729144657).

Almost surely, 2122112102020 is an apocalyptic number.

122112102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112102020 is an abundant number, since it is smaller than the sum of its proper divisors (135387369748).

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

122112102020 is a wasteful number, since it uses less digits than its factorization.

122112102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25334711 (or 25334709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122112102020 its reverse (20201211221), we get a palindrome (142313313241).

The spelling of 122112102020 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 25334461 50668922 101337844 126672305 253344610 506689220 6105605101 12211210202 24422420404 30528025505 61056051010 122112102020