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120222012002000 = 245360111006001
BaseRepresentation
bin11011010101011101011110…
…010100011100111011010000
3120202200010000201112021120012
4123111131132110130323100
5111224204140033031000
61103405121352334052
734215516350105126
oct3325353624347320
9522603021467505
10120222012002000
11353409616592a7
12115979b86a4328
135210b6bc109ac
142198ac2737916
15dd73b52c9735
hex6d575e51ced0

120222012002000 has 40 divisors (see below), whose sum is σ = 290696825025672. Its totient is φ = 48088804800000.

The previous prime is 120222012001969. The next prime is 120222012002161. The reversal of 120222012002000 is 200210222021.

It can be written as a sum of positive squares in 4 ways, for example, as 161867819584 + 120060144182416 = 402328^2 + 10957196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 30055501001 + ... + 30055505000.

Almost surely, 2120222012002000 is an apocalyptic number.

120222012002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222012002000 is an abundant number, since it is smaller than the sum of its proper divisors (170474813023672).

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

120222012002000 is an equidigital number, since it uses as much as digits as its factorization.

120222012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60111006024 (or 60111006008 counting only the distinct ones).

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

Adding to 120222012002000 its reverse (200210222021), we get a palindrome (120422222224021).

The spelling of 120222012002000 in words is "one hundred twenty trillion, two hundred twenty-two billion, twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 60111006001 120222012002 240444024004 300555030005 480888048008 601110060010 961776096016 1202220120020 1502775150025 2404440240040 3005550300050 4808880480080 6011100600100 7513875750125 12022201200200 15027751500250 24044402400400 30055503000500 60111006001000 120222012002000