123321139200 has 1260 divisors, whose sum is σ = 532917245280. Its totient is φ = 27709931520.

The previous prime is 123321139199. The next prime is 123321139217. The reversal of 123321139200 is 2931123321.

123321139200 is a `hidden beast` number, since 1 + 2 + 3 + 321 + 139 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2090188771 + ... + 2090188829.

Almost surely, 2^123321139200 is an apocalyptic number.

123321139200 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 123321139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266458622640).

123321139200 is an abundant number, since it is smaller than the sum of its proper divisors (409596106080).

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

123321139200 is an frugal number, since it uses more digits than its factorization.

123321139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 123321139200 in words is "one hundred twenty-three billion, three hundred twenty-one million, one hundred thirty-nine thousand, two hundred".