20112883200 has 600 divisors, whose sum is σ = 78433860120. Its totient is φ = 5076172800.

The previous prime is 20112883199. The next prime is 20112883201. The reversal of 20112883200 is 238821102.

It is an interprime number because it is at equal distance from previous prime (20112883199) and next prime (20112883201).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112883201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19698690 + ... + 19699710.

Almost surely, 2^20112883200 is an apocalyptic number.

20112883200 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 20112883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39216930060).

20112883200 is an abundant number, since it is smaller than the sum of its proper divisors (58320976920).

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

20112883200 is a wasteful number, since it uses less digits than its factorization.

20112883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 20112883200 in words is "twenty billion, one hundred twelve million, eight hundred eighty-three thousand, two hundred".