20133120 has 216 divisors, whose sum is σ = 75497184. Its totient is φ = 4558848.

The previous prime is 20133107. The next prime is 20133131. The reversal of 20133120 is 2133102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20133096 and 20133105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188107 + ... + 188213.

It is an arithmetic number, because the mean of its divisors is an integer number (349524).

Almost surely, 2^20133120 is an apocalyptic number.

20133120 is a gapful number since it is divisible by the number (20) 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 20133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748592).

20133120 is an abundant number, since it is smaller than the sum of its proper divisors (55364064).

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

20133120 is a wasteful number, since it uses less digits than its factorization.

20133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20133120 is about 4486.9945397783. The cubic root of 20133120 is about 272.0426691999.

Adding to 20133120 its reverse (2133102), we get a palindrome (22266222).

The spelling of 20133120 in words is "twenty million, one hundred thirty-three thousand, one hundred twenty".