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120100221120200 = 23521015945555501
BaseRepresentation
bin11011010011101100000011…
…000001000110111011001000
3120202020110122220111110002012
4123103230003001012323020
5111220210223101321300
61103233140243155052
734203645303513026
oct3323540301067310
9522213586443065
10120100221120200
11352a42438a8182
1211578289075a88
13520252c9a9969
142192c4b60d716
15dd4137ebc435
hex6d3b03046ec8

120100221120200 has 48 divisors (see below), whose sum is σ = 281997697459860. Its totient is φ = 47564444000000.

The previous prime is 120100221120197. The next prime is 120100221120227. The reversal of 120100221120200 is 2021122001021.

120100221120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 92332611948196 + 27767609172004 = 9608986^2 + 5269498^2 .

It is a super-2 number, since 2×1201002211202002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2972757551 + ... + 2972797950.

Almost surely, 2120100221120200 is an apocalyptic number.

120100221120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100221120200 is an abundant number, since it is smaller than the sum of its proper divisors (161897476339660).

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

120100221120200 is a wasteful number, since it uses less digits than its factorization.

120100221120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945555618 (or 5945555609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120100221120200 its reverse (2021122001021), we get a palindrome (122121343121221).

The spelling of 120100221120200 in words is "one hundred twenty trillion, one hundred billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 5945555501 11891111002 23782222004 29727777505 47564444008 59455555010 118911110020 148638887525 237822220040 297277775050 594555550100 600501105601 1189111100200 1201002211202 2402004422404 3002505528005 4804008844808 6005011056010 12010022112020 15012527640025 24020044224040 30025055280050 60050110560100 120100221120200