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123840000000 = 212325743
BaseRepresentation
bin111001101010101110…
…0000111000000000000
3102211122121210211012200
41303111130013000000
54012111020000000
6132520304553200
711642604426453
oct1632534070000
9384577724180
10123840000000
114857a4a6a42
1220001922800
13b8a7918312
145dcb32b49a
15334c173500
hex1cd5707000

123840000000 has 624 divisors, whose sum is σ = 457542969312. Its totient is φ = 32256000000.

The previous prime is 123839999993. The next prime is 123840000017. The reversal of 123840000000 is 48321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2879999979 + ... + 2880000021.

It is an arithmetic number, because the mean of its divisors is an integer number (733241938).

Almost surely, 2123840000000 is an apocalyptic number.

123840000000 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 123840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228771484656).

123840000000 is an abundant number, since it is smaller than the sum of its proper divisors (333702969312).

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

123840000000 is an frugal number, since it uses more digits than its factorization.

123840000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 123840000000 its reverse (48321), we get a palindrome (123840048321).

The spelling of 123840000000 in words is "one hundred twenty-three billion, eight hundred forty million", and thus it is an aban number.