120211315532000 has 768 divisors, whose sum is σ = 380619785355264. Its totient is φ = 36212014080000.

The previous prime is 120211315531981. The next prime is 120211315532027. The reversal of 120211315532000 is 235513112021.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 7609748102 + ... + 7609763898.

It is an arithmetic number, because the mean of its divisors is an integer number (495598678848).

Almost surely, 2^{120211315532000} is an apocalyptic number.

120211315532000 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 120211315532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190309892677632).

120211315532000 is an abundant number, since it is smaller than the sum of its proper divisors (260408469823264).

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

120211315532000 is a wasteful number, since it uses less digits than its factorization.

120211315532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16668 (or 16650 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 120211315532000 its reverse (235513112021), we get a palindrome (120446828644021).

The spelling of 120211315532000 in words is "one hundred twenty trillion, two hundred eleven billion, three hundred fifteen million, five hundred thirty-two thousand".