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2001121122220 = 2251113276854563
BaseRepresentation
bin11101000111101100000…
…111010001011110101100
321002022020120102202112021
4131013230013101132230
5230241244001402340
64131145150315524
7264401434612663
oct35075407213654
97068216382467
102001121122220
11701741782580
122839b74b8ba4
131169218cc1bc
146cbd7729dda
15370c1636e4a
hex1d1ec1d17ac

2001121122220 has 48 divisors (see below), whose sum is σ = 4587841939968. Its totient is φ = 727131936960.

The previous prime is 2001121122211. The next prime is 2001121122223. The reversal of 2001121122220 is 222211211002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001121122194 and 2001121122203.

It is not an unprimeable number, because it can be changed into a prime (2001121122223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3135342 + ... + 3719221.

It is an arithmetic number, because the mean of its divisors is an integer number (95580040416).

Almost surely, 22001121122220 is an apocalyptic number.

2001121122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001121122220 is an abundant number, since it is smaller than the sum of its proper divisors (2586720817748).

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

2001121122220 is a wasteful number, since it uses less digits than its factorization.

2001121122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855910 (or 6855908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2001121122220 its reverse (222211211002), we get a palindrome (2223332333222).

The spelling of 2001121122220 in words is "two trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1327 2654 5308 6635 13270 14597 26540 29194 58388 72985 145970 291940 6854563 13709126 27418252 34272815 68545630 75400193 137091260 150800386 301600772 377000965 754001930 1508003860 9096005101 18192010202 36384020404 45480025505 90960051010 100056056111 181920102020 200112112222 400224224444 500280280555 1000560561110 2001121122220