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220120122200200 = 23521100600611001
BaseRepresentation
bin110010000011001010110101…
…101100010001000010001000
31001212101021111210012120212221
4302003022311230101002020
5212322422002240401300
62100053442123143424
764236103554235555
oct6203126554210210
91055337453176787
10220120122200200
116415646850a302
1220830907674b74
1395a9313b74491
143c4dc29517a2c
151a6ac699b831a
hexc832b5b11088

220120122200200 has 24 divisors (see below), whose sum is σ = 511779284115930. Its totient is φ = 88048048880000.

The previous prime is 220120122200117. The next prime is 220120122200207. The reversal of 220120122200200 is 2002221021022.

It can be written as a sum of positive squares in 3 ways, for example, as 207932189381316 + 12187932818884 = 14419854^2 + 3491122^2 .

It is not an unprimeable number, because it can be changed into a prime (220120122200207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550300305301 + ... + 550300305700.

Almost surely, 2220120122200200 is an apocalyptic number.

220120122200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120122200200 is an abundant number, since it is smaller than the sum of its proper divisors (291659161915730).

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

220120122200200 is a wasteful number, since it uses less digits than its factorization.

220120122200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100600611017 (or 1100600611008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220120122200200 its reverse (2002221021022), we get a palindrome (222122343221222).

The spelling of 220120122200200 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1100600611001 2201201222002 4402402444004 5503003055005 8804804888008 11006006110010 22012012220020 27515015275025 44024024440040 55030030550050 110060061100100 220120122200200