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124014000000 = 27356111879
BaseRepresentation
bin111001101111111001…
…1110111011110000000
3102212002202012221100010
41303133303313132000
54012440041000000
6132545442224520
711650116415212
oct1633763673600
9385082187303
10124014000000
11486597407a0
1220050055140
13b90499b1b7
1460064a25b2
15335c593d50
hex1cdfcf7780

124014000000 has 448 divisors, whose sum is σ = 449431747200. Its totient is φ = 30048000000.

The previous prime is 124013999999. The next prime is 124014000017. The reversal of 124014000000 is 410421.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 124014000000.

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 55 ways as a sum of consecutive naturals, for example, 65999061 + ... + 66000939.

Almost surely, 2124014000000 is an apocalyptic number.

124014000000 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 124014000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224715873600).

124014000000 is an abundant number, since it is smaller than the sum of its proper divisors (325417747200).

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

124014000000 is an frugal number, since it uses more digits than its factorization.

124014000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 124014000000 its reverse (410421), we get a palindrome (124014410421).

The spelling of 124014000000 in words is "one hundred twenty-four billion, fourteen million", and thus it is an aban number.