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123008814852 = 2237111571994261
BaseRepresentation
bin111001010001111100…
…1011000111100000100
3102202111200210020112120
41302203321120330010
54003410224033402
6132302013445540
711613162450240
oct1624371307404
9382450706476
10123008814852
11481932a6270
121ba0b4a08b0
13b7a4666ba1
145d4cba5420
1532ee1db3bc
hex1ca3e58f04

123008814852 has 192 divisors, whose sum is σ = 362017689600. Its totient is φ = 31579891200.

The previous prime is 123008814839. The next prime is 123008814883. The reversal of 123008814852 is 258418800321.

123008814852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28866402 + ... + 28870662.

It is an arithmetic number, because the mean of its divisors is an integer number (1885508800).

Almost surely, 2123008814852 is an apocalyptic number.

123008814852 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 123008814852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181008844800).

123008814852 is an abundant number, since it is smaller than the sum of its proper divisors (239008874748).

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

123008814852 is a wasteful number, since it uses less digits than its factorization.

123008814852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 123008814852 in words is "one hundred twenty-three billion, eight million, eight hundred fourteen thousand, eight hundred fifty-two".