124434402120 has 512 divisors, whose sum is σ = 480066048000. Its totient is φ = 28083179520.

The previous prime is 124434402107. The next prime is 124434402139. The reversal of 124434402120 is 21204434421.

124434402120 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 3 + 440 + 212 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 296979271 + ... + 296979689.

It is an arithmetic number, because the mean of its divisors is an integer number (937629000).

Almost surely, 2^124434402120 is an apocalyptic number.

124434402120 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 124434402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240033024000).

124434402120 is an abundant number, since it is smaller than the sum of its proper divisors (355631645880).

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

124434402120 is a wasteful number, since it uses less digits than its factorization.

124434402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 124434402120 its reverse (21204434421), we get a palindrome (145638836541).

The spelling of 124434402120 in words is "one hundred twenty-four billion, four hundred thirty-four million, four hundred two thousand, one hundred twenty".