20204242128000 has 3200 divisors, whose sum is σ = 90169471117440. Its totient is φ = 4480842240000.

The previous prime is 20204242127981. The next prime is 20204242128041. The reversal of 20204242128000 is 82124240202.

20204242128000 is a `hidden beast` number, since 2 + 0 + 20 + 424 + 212 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×20204242128000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 133802927925 + ... + 133802928075.

Almost surely, 2^{20204242128000} is an apocalyptic number.

20204242128000 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 20204242128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45084735558720).

20204242128000 is an abundant number, since it is smaller than the sum of its proper divisors (69965228989440).

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

20204242128000 is an frugal number, since it uses more digits than its factorization.

20204242128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 20204242128000 its reverse (82124240202), we get a palindrome (20286366368202).

The spelling of 20204242128000 in words is "twenty trillion, two hundred four billion, two hundred forty-two million, one hundred twenty-eight thousand".