Search a number
-
+
12200416131125 = 531710831530087
BaseRepresentation
bin1011000110001010000101…
…1110000011100000110101
31121012100101222101102212202
42301202201132003200311
53044342423012144000
641540443243154245
72366310454014545
oct261424136034065
947170358342782
1012200416131125
113984192929522
121450632815985
136a6656caa7a1
14302709063325
15162562b92dd5
hexb18a1783835

12200416131125 has 32 divisors (see below), whose sum is σ = 16123292310528. Its totient is φ = 9185330208000.

The previous prime is 12200416131037. The next prime is 12200416131131. The reversal of 12200416131125 is 52113161400221.

It is a happy number.

It is not a de Polignac number, because 12200416131125 - 210 = 12200416130101 is a prime.

It is a super-2 number, since 2×122004161311252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22750832 + ... + 23280918.

It is an arithmetic number, because the mean of its divisors is an integer number (503852884704).

Almost surely, 212200416131125 is an apocalyptic number.

It is an amenable number.

12200416131125 is a deficient number, since it is larger than the sum of its proper divisors (3922876179403).

12200416131125 is a wasteful number, since it uses less digits than its factorization.

12200416131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540950 (or 540940 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 12200416131125 its reverse (52113161400221), we get a palindrome (64313577531346).

The spelling of 12200416131125 in words is "twelve trillion, two hundred billion, four hundred sixteen million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 10831 54155 184127 270775 530087 920635 1353875 2650435 4603175 9011479 13252175 23015875 45057395 66260875 225286975 1126434875 5741372297 28706861485 97603329049 143534307425 488016645245 717671537125 2440083226225 12200416131125