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120022120002020 = 22517077735140013
BaseRepresentation
bin11011010010100011010011…
…110100111111000111100100
3120201222000001220110120020112
4123102203103310333013210
5111212420300210031040
61103133222321152152
734165212010123025
oct3322432364770744
9521860056416215
10120022120002020
1135274105853115
121156511118b658
1351c80640a6772
14218d15cb2ac4c
15dd20b658a365
hex6d28d3d3f1e4

120022120002020 has 24 divisors (see below), whose sum is σ = 252047935057464. Its totient is φ = 48008565514496.

The previous prime is 120022120002013. The next prime is 120022120002107. The reversal of 120022120002020 is 20200021220021.

It can be written as a sum of positive squares in 4 ways, for example, as 1446049540324 + 118576070461696 = 1202518^2 + 10889264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120022120001986 and 120022120002004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14154467 + ... + 20985546.

It is an arithmetic number, because the mean of its divisors is an integer number (10501997294061).

Almost surely, 2120022120002020 is an apocalyptic number.

120022120002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022120002020 is an abundant number, since it is smaller than the sum of its proper divisors (132025815055444).

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

120022120002020 is a wasteful number, since it uses less digits than its factorization.

120022120002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35310799 (or 35310797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120022120002020 its reverse (20200021220021), we get a palindrome (140222141222041).

The spelling of 120022120002020 in words is "one hundred twenty trillion, twenty-two billion, one hundred twenty million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 170777 341554 683108 853885 1707770 3415540 35140013 70280026 140560052 175700065 351400130 702800260 6001106000101 12002212000202 24004424000404 30005530000505 60011060001010 120022120002020