20112146705400 has 384 divisors, whose sum is σ = 63453963686400. Its totient is φ = 5269015296000.

The previous prime is 20112146705393. The next prime is 20112146705459. The reversal of 20112146705400 is 450764121102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7175220399 + ... + 7175223201.

It is an arithmetic number, because the mean of its divisors is an integer number (165244697100).

Almost surely, 2^{20112146705400} is an apocalyptic number.

20112146705400 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 20112146705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726981843200).

20112146705400 is an abundant number, since it is smaller than the sum of its proper divisors (43341816981000).

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

20112146705400 is a wasteful number, since it uses less digits than its factorization.

20112146705400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 20112146705400 in words is "twenty trillion, one hundred twelve billion, one hundred forty-six million, seven hundred five thousand, four hundred".