123011102400 has 336 divisors, whose sum is σ = 445904745984. Its totient is φ = 29530603520.

The previous prime is 123011102381. The next prime is 123011102443. The reversal of 123011102400 is 4201110321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123011102400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1844029 + ... + 1909571.

Almost surely, 2^123011102400 is an apocalyptic number.

123011102400 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 123011102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222952372992).

123011102400 is an abundant number, since it is smaller than the sum of its proper divisors (322893643584).

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

123011102400 is a wasteful number, since it uses less digits than its factorization.

123011102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65608 (or 65593 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 123011102400 its reverse (4201110321), we get a palindrome (127212212721).

The spelling of 123011102400 in words is "one hundred twenty-three billion, eleven million, one hundred two thousand, four hundred".