124141021020072 has 1024 divisors, whose sum is σ = 412773580800000. Its totient is φ = 33841040523264.

The previous prime is 124141021020041. The next prime is 124141021020073. The reversal of 124141021020072 is 270020120141421.

124141021020072 is a `hidden beast` number, since 1 + 2 + 41 + 410 + 2 + 1 + 0 + 200 + 7 + 2 = 666.

124141021020072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (124141021020073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 200550922179 + ... + 200550922797.

It is an arithmetic number, because the mean of its divisors is an integer number (403099200000).

Almost surely, 2^{124141021020072} is an apocalyptic number.

124141021020072 is a gapful number since it is divisible by the number (12) 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 124141021020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206386790400000).

124141021020072 is an abundant number, since it is smaller than the sum of its proper divisors (288632559779928).

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

124141021020072 is a wasteful number, since it uses less digits than its factorization.

124141021020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 124141021020072 its reverse (270020120141421), we get a palindrome (394161141161493).

The spelling of 124141021020072 in words is "one hundred twenty-four trillion, one hundred forty-one billion, twenty-one million, twenty thousand, seventy-two".