124213413021120 has 448 divisors, whose sum is σ = 443422961971200. Its totient is φ = 32729075343360.

The previous prime is 124213413021013. The next prime is 124213413021127. The reversal of 124213413021120 is 21120314312421.

124213413021120 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 341 + 302 + 1 + 12 + 0 = 666.

124213413021120 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124213413021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1143389205 + ... + 1143497835.

Almost surely, 2^{124213413021120} is an apocalyptic number.

124213413021120 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 124213413021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221711480985600).

124213413021120 is an abundant number, since it is smaller than the sum of its proper divisors (319209548950080).

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

124213413021120 is a wasteful number, since it uses less digits than its factorization.

124213413021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110233 (or 110217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 124213413021120 its reverse (21120314312421), we get a palindrome (145333727333541).

The spelling of 124213413021120 in words is "one hundred twenty-four trillion, two hundred thirteen billion, four hundred thirteen million, twenty-one thousand, one hundred twenty".