120384734137500 has 288 divisors, whose sum is σ = 401298868228608. Its totient is φ = 27513623520000.

The previous prime is 120384734137487. The next prime is 120384734137513. The reversal of 120384734137500 is 5731437483021.

It is an interprime number because it is at equal distance from previous prime (120384734137487) and next prime (120384734137513).

It is a self number, because there is not a number n which added to its sum of digits gives 120384734137500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3436894987 + ... + 3436930013.

It is an arithmetic number, because the mean of its divisors is an integer number (1393398848016).

Almost surely, 2^{120384734137500} is an apocalyptic number.

120384734137500 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 120384734137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200649434114304).

120384734137500 is an abundant number, since it is smaller than the sum of its proper divisors (280914134091108).

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

120384734137500 is a wasteful number, since it uses less digits than its factorization.

120384734137500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48159 (or 48137 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 120384734137500 in words is "one hundred twenty trillion, three hundred eighty-four billion, seven hundred thirty-four million, one hundred thirty-seven thousand, five hundred".