20121671823600 has 240 divisors, whose sum is σ = 64883763994752. Its totient is φ = 5330222177280.

The previous prime is 20121671823569. The next prime is 20121671823607. The reversal of 20121671823600 is 632817612102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121671823607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874729699 + ... + 874752701.

Almost surely, 2^{20121671823600} is an apocalyptic number.

20121671823600 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 20121671823600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32441881997376).

20121671823600 is an abundant number, since it is smaller than the sum of its proper divisors (44762092171152).

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

20121671823600 is a wasteful number, since it uses less digits than its factorization.

20121671823600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27824 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 20121671823600 in words is "twenty trillion, one hundred twenty-one billion, six hundred seventy-one million, eight hundred twenty-three thousand, six hundred".