124941294613344 has 384 divisors, whose sum is σ = 382539689086464. Its totient is φ = 35285483520000.

The previous prime is 124941294613319. The next prime is 124941294613403. The reversal of 124941294613344 is 443316492149421.

It is a super-2 number, since 2×124941294613344² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4842485244 + ... + 4842511044.

It is an arithmetic number, because the mean of its divisors is an integer number (996197106996).

Almost surely, 2^{124941294613344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124941294613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191269844543232).

124941294613344 is an abundant number, since it is smaller than the sum of its proper divisors (257598394473120).

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

124941294613344 is a wasteful number, since it uses less digits than its factorization.

124941294613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28470 (or 28462 counting only the distinct ones).

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

The spelling of 124941294613344 in words is "one hundred twenty-four trillion, nine hundred forty-one billion, two hundred ninety-four million, six hundred thirteen thousand, three hundred forty-four".