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2001122120 = 235154932297
BaseRepresentation
bin111011101000110…
…1011001101001000
312011110110112111002
41313101223031020
513044241401440
6530322554132
7100406154164
oct16721531510
95143415432
102001122120
11937643738
1247a208948
1325b77b03a
1414daabca4
15baa35115
hex7746b348

2001122120 has 32 divisors (see below), whose sum is σ = 4505571000. Its totient is φ = 799907328.

The previous prime is 2001122117. The next prime is 2001122143. The reversal of 2001122120 is 212211002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1885817476 + 115304644 = 43426^2 + 10738^2 .

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, 45812 + ... + 78108.

Almost surely, 22001122120 is an apocalyptic number.

2001122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001122120 is an abundant number, since it is smaller than the sum of its proper divisors (2504448880).

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

2001122120 is a wasteful number, since it uses less digits than its factorization.

2001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33857 (or 33853 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2001122120 is about 44733.9034737636. The cubic root of 2001122120 is about 1260.1566362758.

Adding to 2001122120 its reverse (212211002), we get a palindrome (2213333122).

The spelling of 2001122120 in words is "two billion, one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1549 3098 6196 7745 12392 15490 30980 32297 61960 64594 129188 161485 258376 322970 645940 1291880 50028053 100056106 200112212 250140265 400224424 500280530 1000561060 2001122120