10033033312120 has 192 divisors, whose sum is σ = 28284548846400. Its totient is φ = 3174770350080.

The previous prime is 10033033312117. The next prime is 10033033312129. The reversal of 10033033312120 is 2121333033001.

It is a junction number, because it is equal to n+sod(n) for n = 10033033312091 and 10033033312100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033033312129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174279901 + ... + 174337459.

It is an arithmetic number, because the mean of its divisors is an integer number (147315358575).

Almost surely, 2^{10033033312120} is an apocalyptic number.

10033033312120 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 10033033312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142274423200).

10033033312120 is an abundant number, since it is smaller than the sum of its proper divisors (18251515534280).

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

10033033312120 is a wasteful number, since it uses less digits than its factorization.

10033033312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64438 (or 64427 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10033033312120 its reverse (2121333033001), we get a palindrome (12154366345121).

The spelling of 10033033312120 in words is "ten trillion, thirty-three billion, thirty-three million, three hundred twelve thousand, one hundred twenty".