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12041412331320 = 23325241225161657
BaseRepresentation
bin1010111100111001110000…
…0110101100011100111000
31120122010222201200111122100
42233032130012230130320
53034241303024100240
641335425400023400
72351651265015231
oct257163406543470
946563881614570
1012041412331320
113922809384309
121425858761b60
1369466724a648
142d8b4398c088
1515d3588d5e30
hexaf39c1ac738

12041412331320 has 192 divisors, whose sum is σ = 39315069462240. Its totient is φ = 3196247040000.

The previous prime is 12041412331253. The next prime is 12041412331339. The reversal of 12041412331320 is 2313321414021.

12041412331320 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 1 + 4 + 1 + 2 + 331 + 320 = 666.

It is a super-2 number, since 2×120414123313202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195265932 + ... + 195327588.

Almost surely, 212041412331320 is an apocalyptic number.

12041412331320 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 12041412331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19657534731120).

12041412331320 is an abundant number, since it is smaller than the sum of its proper divisors (27273657130920).

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

12041412331320 is a wasteful number, since it uses less digits than its factorization.

12041412331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64166 (or 64159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12041412331320 its reverse (2313321414021), we get a palindrome (14354733745341).

The spelling of 12041412331320 in words is "twelve trillion, forty-one billion, four hundred twelve million, three hundred thirty-one thousand, three hundred twenty".