120015235200 has 768 divisors, whose sum is σ = 475580989440. Its totient is φ = 26022297600.

The previous prime is 120015235163. The next prime is 120015235229. The reversal of 120015235200 is 2532510021.

It is a super-3 number, since 3×120015235200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 110409057 + ... + 110410143.

It is an arithmetic number, because the mean of its divisors is an integer number (619246080).

Almost surely, 2^120015235200 is an apocalyptic number.

120015235200 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 120015235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237790494720).

120015235200 is an abundant number, since it is smaller than the sum of its proper divisors (355565754240).

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

120015235200 is a wasteful number, since it uses less digits than its factorization.

120015235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 120015235200 its reverse (2532510021), we get a palindrome (122547745221).

The spelling of 120015235200 in words is "one hundred twenty billion, fifteen million, two hundred thirty-five thousand, two hundred".