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2000120222120 = 235138041362233
BaseRepresentation
bin11101000110110000011…
…101001001000110101000
321002012122211001202201012
4131012300131021012220
5230232221234101440
64130501553443052
7264334562242616
oct35066035110650
97065584052635
102000120222120
117012787a4509
12283778270488
131167c2438417
146cb408266b6
1537063828e65
hex1d1b07491a8

2000120222120 has 32 divisors (see below), whose sum is σ = 4500315524520. Its totient is φ = 800040084480.

The previous prime is 2000120222117. The next prime is 2000120222123. The reversal of 2000120222120 is 212220210002.

It is an interprime number because it is at equal distance from previous prime (2000120222117) and next prime (2000120222123).

It can be written as a sum of positive squares in 4 ways, for example, as 1971154224484 + 28965997636 = 1403978^2 + 170194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2000120222095 and 2000120222104.

It is not an unprimeable number, because it can be changed into a prime (2000120222123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5340524 + ... + 5702756.

Almost surely, 22000120222120 is an apocalyptic number.

2000120222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000120222120 is an abundant number, since it is smaller than the sum of its proper divisors (2500195302400).

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

2000120222120 is a wasteful number, since it uses less digits than its factorization.

2000120222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500285 (or 500281 counting only the distinct ones).

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

Adding to 2000120222120 its reverse (212220210002), we get a palindrome (2212340432122).

The spelling of 2000120222120 in words is "two trillion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 138041 276082 362233 552164 690205 724466 1104328 1380410 1448932 1811165 2760820 2897864 3622330 5521640 7244660 14489320 50003005553 100006011106 200012022212 250015027765 400024044424 500030055530 1000060111060 2000120222120