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12048137043852 = 223713171135743411
BaseRepresentation
bin1010111101010010110011…
…1011011011111110001100
31120122210100101102022000110
42233110230323123332030
53034344041040400402
641342500542000020
72352310032102150
oct257245473337614
946583311368013
1012048137043852
11392564a2a3378
121427014876010
136951994c8ba0
142d91c0b29060
1515d5ede7356c
hexaf52cedbf8c

12048137043852 has 192 divisors, whose sum is σ = 36959269745664. Its totient is φ = 2964150927360.

The previous prime is 12048137043847. The next prime is 12048137043853. The reversal of 12048137043852 is 25834073184021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12048137043853) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773974 + ... + 4969437.

It is an arithmetic number, because the mean of its divisors is an integer number (192496196592).

Almost surely, 212048137043852 is an apocalyptic number.

12048137043852 is a gapful number since it is divisible by the number (12) 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 12048137043852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18479634872832).

12048137043852 is an abundant number, since it is smaller than the sum of its proper divisors (24911132701812).

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

12048137043852 is a wasteful number, since it uses less digits than its factorization.

12048137043852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743568 (or 5743566 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 12048137043852 in words is "twelve trillion, forty-eight billion, one hundred thirty-seven million, forty-three thousand, eight hundred fifty-two".