120124843440 has 320 divisors, whose sum is σ = 452475611136. Its totient is φ = 25767346176.

The previous prime is 120124843411. The next prime is 120124843441. The reversal of 120124843440 is 44348421021.

It is a super-2 number, since 2×120124843440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120124843441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2018592 + ... + 2077248.

Almost surely, 2^120124843440 is an apocalyptic number.

120124843440 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 120124843440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226237805568).

120124843440 is an abundant number, since it is smaller than the sum of its proper divisors (332350767696).

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

120124843440 is a wasteful number, since it uses less digits than its factorization.

120124843440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58756 (or 58750 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 120124843440 in words is "one hundred twenty billion, one hundred twenty-four million, eight hundred forty-three thousand, four hundred forty".