120024030000400 has 60 divisors (see below), whose sum is σ = 288550100250000. Its totient is φ = 47977584000640.

The previous prime is 120024030000367. The next prime is 120024030000437. The reversal of 120024030000400 is 4000030420021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99487150 + ... + 100686349.

It is an arithmetic number, because the mean of its divisors is an integer number (4809168337500).

Almost surely, 2^{120024030000400} is an apocalyptic number.

120024030000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120024030000400 is an abundant number, since it is smaller than the sum of its proper divisors (168526070249600).

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

120024030000400 is a wasteful number, since it uses less digits than its factorization.

120024030000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200175016 (or 200175005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 120024030000400 its reverse (4000030420021), we get a palindrome (124024060420421).

The spelling of 120024030000400 in words is "one hundred twenty trillion, twenty-four billion, thirty million, four hundred", and thus it is an aban number.