123390271200 has 1008 divisors, whose sum is σ = 514680808320. Its totient is φ = 25557396480.

The previous prime is 123390271183. The next prime is 123390271201. The reversal of 123390271200 is 2172093321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123390271201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5364794389 + ... + 5364794411.

It is an arithmetic number, because the mean of its divisors is an integer number (510596040).

Almost surely, 2^123390271200 is an apocalyptic number.

123390271200 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 123390271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257340404160).

123390271200 is an abundant number, since it is smaller than the sum of its proper divisors (391290537120).

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

123390271200 is an frugal number, since it uses more digits than its factorization.

123390271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 123390271200 in words is "one hundred twenty-three billion, three hundred ninety million, two hundred seventy-one thousand, two hundred".