123434320800 has 1728 divisors, whose sum is σ = 547434961920. Its totient is φ = 23503011840.

The previous prime is 123434320771. The next prime is 123434320853. The reversal of 123434320800 is 8023434321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2870565579 + ... + 2870565621.

It is an arithmetic number, because the mean of its divisors is an integer number (316802640).

Almost surely, 2^123434320800 is an apocalyptic number.

123434320800 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 123434320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273717480960).

123434320800 is an abundant number, since it is smaller than the sum of its proper divisors (424000641120).

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

123434320800 is a wasteful number, since it uses less digits than its factorization.

123434320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 123434320800 in words is "one hundred twenty-three billion, four hundred thirty-four million, three hundred twenty thousand, eight hundred".