123401122400 has 72 divisors (see below), whose sum is σ = 301646240280. Its totient is φ = 49296015360.

The previous prime is 123401122363. The next prime is 123401122433. The reversal of 123401122400 is 4221104321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 514907 + ... + 715493.

It is an arithmetic number, because the mean of its divisors is an integer number (4189531115).

Almost surely, 2^123401122400 is an apocalyptic number.

123401122400 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 123401122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150823120140).

123401122400 is an abundant number, since it is smaller than the sum of its proper divisors (178245117880).

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

123401122400 is a wasteful number, since it uses less digits than its factorization.

123401122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201376 (or 201363 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123401122400 its reverse (4221104321), we get a palindrome (127622226721).

The spelling of 123401122400 in words is "one hundred twenty-three billion, four hundred one million, one hundred twenty-two thousand, four hundred".