124212245040 has 320 divisors, whose sum is σ = 467250094080. Its totient is φ = 30144199680.

The previous prime is 124212244997. The next prime is 124212245041. The reversal of 124212245040 is 40542212421.

It is a happy number.

124212245040 is a `hidden beast` number, since 12 + 42 + 122 + 450 + 40 = 666.

124212245040 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 junction number, because it is equal to n+sod(n) for n = 124212244995 and 124212245013.

It is not an unprimeable number, because it can be changed into a prime (124212245041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962529 + ... + 2024831.

It is an arithmetic number, because the mean of its divisors is an integer number (1460156544).

Almost surely, 2^124212245040 is an apocalyptic number.

124212245040 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 124212245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233625047040).

124212245040 is an abundant number, since it is smaller than the sum of its proper divisors (343037849040).

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

124212245040 is a wasteful number, since it uses less digits than its factorization.

124212245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62409 (or 62397 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 124212245040 its reverse (40542212421), we get a palindrome (164754457461).

The spelling of 124212245040 in words is "one hundred twenty-four billion, two hundred twelve million, two hundred forty-five thousand, forty".