123101042400 has 864 divisors, whose sum is σ = 513480135168. Its totient is φ = 27164160000.

The previous prime is 123101042369. The next prime is 123101042401. The reversal of 123101042400 is 4240101321.

123101042400 is a `hidden beast` number, since 1 + 231 + 0 + 10 + 424 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123101042401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 468064669 + ... + 468064931.

It is an arithmetic number, because the mean of its divisors is an integer number (594305712).

Almost surely, 2^123101042400 is an apocalyptic number.

123101042400 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 123101042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256740067584).

123101042400 is an abundant number, since it is smaller than the sum of its proper divisors (390379092768).

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

123101042400 is a wasteful number, since it uses less digits than its factorization.

123101042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 123101042400 its reverse (4240101321), we get a palindrome (127341143721).

The spelling of 123101042400 in words is "one hundred twenty-three billion, one hundred one million, forty-two thousand, four hundred".