120024342480 has 320 divisors, whose sum is σ = 451256832000. Its totient is φ = 25762209792.

The previous prime is 120024342469. The next prime is 120024342481. The reversal of 120024342480 is 84243420021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120024342481) 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, 13333021 + ... + 13342019.

It is an arithmetic number, because the mean of its divisors is an integer number (1410177600).

Almost surely, 2^120024342480 is an apocalyptic number.

120024342480 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 120024342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225628416000).

120024342480 is an abundant number, since it is smaller than the sum of its proper divisors (331232489520).

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

120024342480 is a wasteful number, since it uses less digits than its factorization.

120024342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9506 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 120024342480 in words is "one hundred twenty billion, twenty-four million, three hundred forty-two thousand, four hundred eighty".