124260433489920 has 4992 divisors, whose sum is σ = 552758829170688. Its totient is φ = 23543886643200.

The previous prime is 124260433489849. The next prime is 124260433489937. The reversal of 124260433489920 is 29984334062421.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×124260433489920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1702197719004 + ... + 1702197719076.

Almost surely, 2^{124260433489920} is an apocalyptic number.

124260433489920 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 124260433489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276379414585344).

124260433489920 is an abundant number, since it is smaller than the sum of its proper divisors (428498395680768).

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

124260433489920 is a wasteful number, since it uses less digits than its factorization.

124260433489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 124260433489920 in words is "one hundred twenty-four trillion, two hundred sixty billion, four hundred thirty-three million, four hundred eighty-nine thousand, nine hundred twenty".