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122240142020 = 2256112007101
BaseRepresentation
bin111000111011000010…
…1001000101011000100
3102200112010101121122102
41301312011020223010
54000321434021040
6132053434251232
711555140030463
oct1616605105304
9380463347572
10122240142020
1147929411a67
121b835b86b18
13b6b13320a9
145cb8a729da
1532a69a1515
hex1c76148ac4

122240142020 has 12 divisors (see below), whose sum is σ = 256704298284. Its totient is φ = 48896056800.

The previous prime is 122240141999. The next prime is 122240142049. The reversal of 122240142020 is 20241042221.

It can be written as a sum of positive squares in 2 ways, for example, as 85225460356 + 37014681664 = 291934^2 + 192392^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6112007101 = 122240142020 / (1 + 2 + 2 + 2 + 4 + 0 + 1 + 4 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 122240141983 and 122240142001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3056003531 + ... + 3056003570.

It is an arithmetic number, because the mean of its divisors is an integer number (21392024857).

Almost surely, 2122240142020 is an apocalyptic number.

122240142020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122240142020 is an abundant number, since it is smaller than the sum of its proper divisors (134464156264).

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

122240142020 is a wasteful number, since it uses less digits than its factorization.

122240142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112007110 (or 6112007108 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122240142020 its reverse (20241042221), we get a palindrome (142481184241).

The spelling of 122240142020 in words is "one hundred twenty-two billion, two hundred forty million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 6112007101 12224014202 24448028404 30560035505 61120071010 122240142020