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12200416131126 = 2315313431338707
BaseRepresentation
bin1011000110001010000101…
…1110000011100000110110
31121012100101222101102212210
42301202201132003200312
53044342423012144001
641540443243154250
72366310454014546
oct261424136034066
947170358342783
1012200416131126
113984192929523
121450632815986
136a6656caa7a2
14302709063326
15162562b92dd6
hexb18a1783836

12200416131126 has 32 divisors (see below), whose sum is σ = 24418112519808. Its totient is φ = 4063925632320.

The previous prime is 12200416131037. The next prime is 12200416131131. The reversal of 12200416131126 is 62113161400221.

It is a junction number, because it is equal to n+sod(n) for n = 12200416131093 and 12200416131102.

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 15 ways as a sum of consecutive naturals, for example, 315179865 + ... + 315218571.

It is an arithmetic number, because the mean of its divisors is an integer number (763066016244).

Almost surely, 212200416131126 is an apocalyptic number.

12200416131126 is an abundant number, since it is smaller than the sum of its proper divisors (12217696388682).

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

12200416131126 is a wasteful number, since it uses less digits than its factorization.

12200416131126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74556.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 12200416131126 its reverse (62113161400221), we get a palindrome (74313577531347).

The spelling of 12200416131126 in words is "twelve trillion, two hundred billion, four hundred sixteen million, one hundred thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 1531 3062 4593 9186 34313 38707 68626 77414 102939 116121 205878 232242 52533203 59260417 105066406 118520834 157599609 177781251 315199218 355562502 1328153291 2656306582 3984459873 7968919746 2033402688521 4066805377042 6100208065563 12200416131126