Search a number
-
+
12200110122100 = 2252122001101221
BaseRepresentation
bin1011000110001000111100…
…1110101110010001110100
31121012022121122120120102011
42301202033032232101310
53044341311142401400
641540353032254004
72366300050000135
oct261421716562164
947168548516364
1012200110122100
1139840461203aa
121450568241304
136a6608787864
143026ba567c8c
15162545d988ba
hexb188f3ae474

12200110122100 has 18 divisors (see below), whose sum is σ = 26474238965174. Its totient is φ = 4880044048800.

The previous prime is 12200110122097. The next prime is 12200110122103. The reversal of 12200110122100 is 122101100221.

12200110122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12200110122097) and next prime (12200110122103).

It can be written as a sum of positive squares in 3 ways, for example, as 263402979984 + 11936707142116 = 513228^2 + 3454954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200110122103) 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, 61000550511 + ... + 61000550710.

Almost surely, 212200110122100 is an apocalyptic number.

12200110122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200110122100 is an abundant number, since it is smaller than the sum of its proper divisors (14274128843074).

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

12200110122100 is a wasteful number, since it uses less digits than its factorization.

12200110122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122001101235 (or 122001101228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12200110122100 its reverse (122101100221), we get a palindrome (12322211222321).

The spelling of 12200110122100 in words is "twelve trillion, two hundred billion, one hundred ten million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122001101221 244002202442 488004404884 610005506105 1220011012210 2440022024420 3050027530525 6100055061050 12200110122100