120002544000 has 768 divisors, whose sum is σ = 448993359360. Its totient is φ = 30689280000.

The previous prime is 120002543993. The next prime is 120002544041. The reversal of 120002544000 is 445200021.

120002544000 is a `hidden beast` number, since 1 + 200 + 0 + 25 + 440 + 0 + 0 = 666.

It is a super-2 number, since 2×120002544000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 538127889 + ... + 538128111.

It is an arithmetic number, because the mean of its divisors is an integer number (584626770).

Almost surely, 2^120002544000 is an apocalyptic number.

120002544000 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 120002544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224496679680).

120002544000 is an abundant number, since it is smaller than the sum of its proper divisors (328990815360).

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

120002544000 is a wasteful number, since it uses less digits than its factorization.

120002544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 120002544000 its reverse (445200021), we get a palindrome (120447744021).

The spelling of 120002544000 in words is "one hundred twenty billion, two million, five hundred forty-four thousand".