20133124128 has 720 divisors, whose sum is σ = 70308453600. Its totient is φ = 5628579840.

The previous prime is 20133124091. The next prime is 20133124139. The reversal of 20133124128 is 82142133102.

20133124128 is a `hidden beast` number, since 201 + 33 + 12 + 412 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 341239363 + ... + 341239421.

It is an arithmetic number, because the mean of its divisors is an integer number (97650630).

Almost surely, 2^20133124128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133124128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154226800).

20133124128 is an abundant number, since it is smaller than the sum of its proper divisors (50175329472).

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

20133124128 is a wasteful number, since it uses less digits than its factorization.

20133124128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20133124128 in words is "twenty billion, one hundred thirty-three million, one hundred twenty-four thousand, one hundred twenty-eight".