124121411000430 has 256 divisors, whose sum is σ = 305674435584000. Its totient is φ = 32247931322880.

The previous prime is 124121411000401. The next prime is 124121411000441. The reversal of 124121411000430 is 34000114121421.

It is a happy number.

It is a super-2 number, since 2×124121411000430² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 124121411000430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73055567721 + ... + 73055569419.

It is an arithmetic number, because the mean of its divisors is an integer number (1194040764000).

Almost surely, 2^{124121411000430} is an apocalyptic number.

124121411000430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124121411000430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152837217792000).

124121411000430 is an abundant number, since it is smaller than the sum of its proper divisors (181553024583570).

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

124121411000430 is a wasteful number, since it uses less digits than its factorization.

124121411000430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 124121411000430 its reverse (34000114121421), we get a palindrome (158121525121851).

The spelling of 124121411000430 in words is "one hundred twenty-four trillion, one hundred twenty-one billion, four hundred eleven million, four hundred thirty", and thus it is an aban number.