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12104660252160 = 293357315211549
BaseRepresentation
bin1011000000100101010111…
…1110010111011000000000
31120212012020120210210012000
42300021111332113120000
53041310321011032120
641424445410304000
72356350523331010
oct260112576273000
946765216723160
1012104660252160
113947615165373
121435b6a288000
1369a606854288
142dbc23941c40
1515ed0b350990
hexb0255f97600

12104660252160 has 1280 divisors, whose sum is σ = 50854459392000. Its totient is φ = 2670664089600.

The previous prime is 12104660252077. The next prime is 12104660252183. The reversal of 12104660252160 is 6125206640121.

12104660252160 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 46 + 602 + 5 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 7814499066 + ... + 7814500614.

It is an arithmetic number, because the mean of its divisors is an integer number (39730046400).

Almost surely, 212104660252160 is an apocalyptic number.

12104660252160 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 12104660252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427229696000).

12104660252160 is an abundant number, since it is smaller than the sum of its proper divisors (38749799139840).

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

12104660252160 is a wasteful number, since it uses less digits than its factorization.

12104660252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 12104660252160 its reverse (6125206640121), we get a palindrome (18229866892281).

The spelling of 12104660252160 in words is "twelve trillion, one hundred four billion, six hundred sixty million, two hundred fifty-two thousand, one hundred sixty".