120135335400 has 288 divisors, whose sum is σ = 417050449920. Its totient is φ = 30959424000.

The previous prime is 120135335377. The next prime is 120135335401. The reversal of 120135335400 is 4533531021.

120135335400 is a `hidden beast` number, since 1 + 201 + 3 + 53 + 3 + 5 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (120135335401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65898889 + ... + 65900711.

It is an arithmetic number, because the mean of its divisors is an integer number (1448091840).

Almost surely, 2^120135335400 is an apocalyptic number.

120135335400 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 120135335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208525224960).

120135335400 is an abundant number, since it is smaller than the sum of its proper divisors (296915114520).

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

120135335400 is a wasteful number, since it uses less digits than its factorization.

120135335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 120135335400 its reverse (4533531021), we get a palindrome (124668866421).

It can be divided in two parts, 120135 and 335400, that added together give a triangular number (455535 = T₉₅₄).

The spelling of 120135335400 in words is "one hundred twenty billion, one hundred thirty-five million, three hundred thirty-five thousand, four hundred".