204124131420000 has 480 divisors, whose sum is σ = 730535542095744. Its totient is φ = 49478016000000.

The previous prime is 204124131419983. The next prime is 204124131420007. The reversal of 204124131420000 is 24131421402.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×204124131420000⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204124131420007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6459404200 + ... + 6459435800.

Almost surely, 2^{204124131420000} is an apocalyptic number.

204124131420000 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 204124131420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365267771047872).

204124131420000 is an abundant number, since it is smaller than the sum of its proper divisors (526411410675744).

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

204124131420000 is a wasteful number, since it uses less digits than its factorization.

204124131420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41432 (or 41409 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 204124131420000 its reverse (24131421402), we get a palindrome (204148262841402).

The spelling of 204124131420000 in words is "two hundred four trillion, one hundred twenty-four billion, one hundred thirty-one million, four hundred twenty thousand".