133120100012120 has 768 divisors, whose sum is σ = 362540459664000. Its totient is φ = 43756749324288.

The previous prime is 133120100012113. The next prime is 133120100012191. The reversal of 133120100012120 is 21210001021331.

It is a super-2 number, since 2×133120100012120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43094883536 + ... + 43094886624.

Almost surely, 2^{133120100012120} is an apocalyptic number.

133120100012120 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 133120100012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181270229832000).

133120100012120 is an abundant number, since it is smaller than the sum of its proper divisors (229420359651880).

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

133120100012120 is a wasteful number, since it uses less digits than its factorization.

133120100012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 133120100012120 its reverse (21210001021331), we get a palindrome (154330101033451).

The spelling of 133120100012120 in words is "one hundred thirty-three trillion, one hundred twenty billion, one hundred million, twelve thousand, one hundred twenty".