120021333332010 has 128 divisors (see below), whose sum is σ = 314801350732800. Its totient is φ = 29043923166720.

The previous prime is 120021333331993. The next prime is 120021333332057. The reversal of 120021333332010 is 10233333120021.

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, 560062261 + ... + 560276519.

It is an arithmetic number, because the mean of its divisors is an integer number (2459385552600).

Almost surely, 2^{120021333332010} is an apocalyptic number.

120021333332010 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 120021333332010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157400675366400).

120021333332010 is an abundant number, since it is smaller than the sum of its proper divisors (194780017400790).

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

120021333332010 is a wasteful number, since it uses less digits than its factorization.

120021333332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217316.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 120021333332010 its reverse (10233333120021), we get a palindrome (130254666452031).

The spelling of 120021333332010 in words is "one hundred twenty trillion, twenty-one billion, three hundred thirty-three million, three hundred thirty-two thousand, ten".