20000133120 has 416 divisors, whose sum is σ = 70741931904. Its totient is φ = 4784128000.

The previous prime is 20000133119. The next prime is 20000133121. The reversal of 20000133120 is 2133100002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20000133119) and next prime (20000133121).

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 = 20000133096 and 20000133105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000133121) 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, 68259694 + ... + 68259986.

Almost surely, 2^20000133120 is an apocalyptic number.

20000133120 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 20000133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35370965952).

20000133120 is an abundant number, since it is smaller than the sum of its proper divisors (50741798784).

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

20000133120 is a wasteful number, since it uses less digits than its factorization.

20000133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 415 counting only the distinct ones).

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

Adding to 20000133120 its reverse (2133100002), we get a palindrome (22133233122).

The spelling of 20000133120 in words is "twenty billion, one hundred thirty-three thousand, one hundred twenty".