133302012120 has 256 divisors, whose sum is σ = 448679088000. Its totient is φ = 35201875968.

The previous prime is 133302012031. The next prime is 133302012121. The reversal of 133302012120 is 21210203331.

133302012120 is a `hidden beast` number, since 13 + 330 + 201 + 2 + 120 = 666.

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 = 133302012093 and 133302012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133302012121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49571736 + ... + 49574424.

Almost surely, 2^133302012120 is an apocalyptic number.

133302012120 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 133302012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224339544000).

133302012120 is an abundant number, since it is smaller than the sum of its proper divisors (315377075880).

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

133302012120 is a wasteful number, since it uses less digits than its factorization.

133302012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3129 counting only the distinct ones).

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

Adding to 133302012120 its reverse (21210203331), we get a palindrome (154512215451).

The spelling of 133302012120 in words is "one hundred thirty-three billion, three hundred two million, twelve thousand, one hundred twenty".