Search a number
-
+
123039099792 = 2435718124977
BaseRepresentation
bin111001010010110110…
…0111010101110010000
3102202120210202212200000
41302211230322232100
54003441002143132
6132305014530000
711614011043440
oct1624554725620
9382523685600
10123039099792
11481a9400844
121ba19666900
13b7aaa0b77b
145d52c0a120
153301bbe87c
hex1ca5b3ab90

123039099792 has 240 divisors, whose sum is σ = 410376150912. Its totient is φ = 34958407680.

The previous prime is 123039099769. The next prime is 123039099793. The reversal of 123039099792 is 297990930321.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (123039099793) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4913608 + ... + 4938584.

Almost surely, 2123039099792 is an apocalyptic number.

123039099792 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 123039099792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205188075456).

123039099792 is an abundant number, since it is smaller than the sum of its proper divisors (287337051120).

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

123039099792 is a wasteful number, since it uses less digits than its factorization.

123039099792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25188 (or 25170 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 123039099792 in words is "one hundred twenty-three billion, thirty-nine million, ninety-nine thousand, seven hundred ninety-two".