132033210120 has 384 divisors, whose sum is σ = 495379722240. Its totient is φ = 29874700800.

The previous prime is 132033210091. The next prime is 132033210149. The reversal of 132033210120 is 21012330231.

132033210120 is a `hidden beast` number, since 1 + 320 + 3 + 321 + 0 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (132033210091) and next prime (132033210149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132033210093 and 132033210102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177702469 + ... + 177703211.

It is an arithmetic number, because the mean of its divisors is an integer number (1290051360).

Almost surely, 2^132033210120 is an apocalyptic number.

132033210120 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 132033210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247689861120).

132033210120 is an abundant number, since it is smaller than the sum of its proper divisors (363346512120).

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

132033210120 is a wasteful number, since it uses less digits than its factorization.

132033210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132033210120 its reverse (21012330231), we get a palindrome (153045540351).

The spelling of 132033210120 in words is "one hundred thirty-two billion, thirty-three million, two hundred ten thousand, one hundred twenty".