120033213300 has 1296 divisors, whose sum is σ = 523544740992. Its totient is φ = 22320230400.

The previous prime is 120033213259. The next prime is 120033213323. The reversal of 120033213300 is 3312330021.

120033213300 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 332 + 1 + 330 + 0 = 666.

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 431 ways as a sum of consecutive naturals, for example, 433332762 + ... + 433333038.

Almost surely, 2^120033213300 is an apocalyptic number.

120033213300 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 120033213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261772370496).

120033213300 is an abundant number, since it is smaller than the sum of its proper divisors (403511527692).

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

120033213300 is a wasteful number, since it uses less digits than its factorization.

120033213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

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

Adding to 120033213300 its reverse (3312330021), we get a palindrome (123345543321).

It can be divided in two parts, 120033 and 213300, that added together give a palindrome (333333).

The spelling of 120033213300 in words is "one hundred twenty billion, thirty-three million, two hundred thirteen thousand, three hundred".