Search a number
-
+
12202111202200 = 23521015411116571
BaseRepresentation
bin1011000110010000011010…
…0000001111001110011000
31121012111210002221222020221
42301210012200033032120
53044404410431432300
641541323354325424
72366400455620663
oct261440640171630
947174702858227
1012202111202200
113984982735507
121450a26429874
136a686721c71a
1430282a2246da
151626118c131a
hexb190680f398

12202111202200 has 96 divisors (see below), whose sum is σ = 28703783398320. Its totient is φ = 4823582400000.

The previous prime is 12202111202189. The next prime is 12202111202201. The reversal of 12202111202200 is 220211120221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202111202201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10369915 + ... + 11486485.

Almost surely, 212202111202200 is an apocalyptic number.

12202111202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202111202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351891699160).

12202111202200 is an abundant number, since it is smaller than the sum of its proper divisors (16501672196120).

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

12202111202200 is a wasteful number, since it uses less digits than its factorization.

12202111202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117229 (or 1117220 counting only the distinct ones).

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

Adding to 12202111202200 its reverse (220211120221), we get a palindrome (12422322322421).

The spelling of 12202111202200 in words is "twelve trillion, two hundred two billion, one hundred eleven million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 541 808 1010 1082 2020 2164 2525 2705 4040 4328 5050 5410 10100 10820 13525 20200 21640 27050 54100 54641 108200 109282 218564 273205 437128 546410 1092820 1116571 1366025 2185640 2233142 2732050 4466284 5464100 5582855 8932568 10928200 11165710 22331420 27914275 44662840 55828550 111657100 112773671 223314200 225547342 451094684 563868355 604064911 902189368 1127736710 1208129822 2255473420 2416259644 2819341775 3020324555 4510946840 4832519288 5638683550 6040649110 11277367100 12081298220 15101622775 22554734200 24162596440 30203245550 60406491100 61010556011 120812982200 122021112022 244042224044 305052780055 488084448088 610105560110 1220211120220 1525263900275 2440422240440 3050527800550 6101055601100 12202111202200