120033133200210 has 128 divisors (see below), whose sum is σ = 304015970304000. Its totient is φ = 30269780716032.

The previous prime is 120033133200203. The next prime is 120033133200259. The reversal of 120033133200210 is 12002331330021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579545451 + ... + 579752529.

It is an arithmetic number, because the mean of its divisors is an integer number (2375124768000).

Almost surely, 2^{120033133200210} is an apocalyptic number.

120033133200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120033133200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152007985152000).

120033133200210 is an abundant number, since it is smaller than the sum of its proper divisors (183982837103790).

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

120033133200210 is a wasteful number, since it uses less digits than its factorization.

120033133200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216640.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 120033133200210 its reverse (12002331330021), we get a palindrome (132035464530231).

The spelling of 120033133200210 in words is "one hundred twenty trillion, thirty-three billion, one hundred thirty-three million, two hundred thousand, two hundred ten".