120144244248000 has 1344 divisors, whose sum is σ = 513418581187200. Its totient is φ = 27426412339200.

The previous prime is 120144244247957. The next prime is 120144244248029. The reversal of 120144244248000 is 842442441021.

120144244248000 is a `hidden beast` number, since 1 + 201 + 4 + 4 + 2 + 442 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8774129154 + ... + 8774142846.

Almost surely, 2^{120144244248000} is an apocalyptic number.

120144244248000 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 120144244248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256709290593600).

120144244248000 is an abundant number, since it is smaller than the sum of its proper divisors (393274336939200).

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

120144244248000 is a wasteful number, since it uses less digits than its factorization.

120144244248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14572 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 120144244248000 its reverse (842442441021), we get a palindrome (120986686689021).

The spelling of 120144244248000 in words is "one hundred twenty trillion, one hundred forty-four billion, two hundred forty-four million, two hundred forty-eight thousand".