120312011332032 has 224 divisors, whose sum is σ = 343670848782912. Its totient is φ = 36926382145536.

The previous prime is 120312011332031. The next prime is 120312011332129. The reversal of 120312011332032 is 230233110213021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120312011331993 and 120312011332011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120312011332031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8967125388 + ... + 8967138804.

It is an arithmetic number, because the mean of its divisors is an integer number (1534244860638).

Almost surely, 2^{120312011332032} is an apocalyptic number.

120312011332032 is a gapful number since it is divisible by the number (12) 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 120312011332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171835424391456).

120312011332032 is an abundant number, since it is smaller than the sum of its proper divisors (223358837450880).

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

120312011332032 is a wasteful number, since it uses less digits than its factorization.

120312011332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22175 (or 22165 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 120312011332032 its reverse (230233110213021), we get a palindrome (350545121545053).

The spelling of 120312011332032 in words is "one hundred twenty trillion, three hundred twelve billion, eleven million, three hundred thirty-two thousand, thirty-two".