120323013300 has 270 divisors, whose sum is σ = 453721117542. Its totient is φ = 27502312320.

The previous prime is 120323013277. The next prime is 120323013319. The reversal of 120323013300 is 3310323021.

120323013300 is a `hidden beast` number, since 1 + 2 + 0 + 32 + 301 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29105724816 + 91217288484 = 170604^2 + 302022^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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 89 ways as a sum of consecutive naturals, for example, 245322 + ... + 548478.

Almost surely, 2^120323013300 is an apocalyptic number.

120323013300 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 120323013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860558771).

120323013300 is an abundant number, since it is smaller than the sum of its proper divisors (333398104242).

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

120323013300 is a wasteful number, since it uses less digits than its factorization.

120323013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303197 (or 303174 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120323013300 its reverse (3310323021), we get a palindrome (123633336321).

The spelling of 120323013300 in words is "one hundred twenty billion, three hundred twenty-three million, thirteen thousand, three hundred".