190821120000 has 960 divisors, whose sum is σ = 753238886400. Its totient is φ = 42024960000.

The previous prime is 190821119921. The next prime is 190821120041. The reversal of 190821120000 is 21128091.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 833279886 + ... + 833280114.

It is an arithmetic number, because the mean of its divisors is an integer number (784623840).

Almost surely, 2^190821120000 is an apocalyptic number.

190821120000 is a gapful number since it is divisible by the number (10) 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 190821120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376619443200).

190821120000 is an abundant number, since it is smaller than the sum of its proper divisors (562417766400).

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

190821120000 is an equidigital number, since it uses as much as digits as its factorization.

190821120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 190821120000 its reverse (21128091), we get a palindrome (190842248091).

The spelling of 190821120000 in words is "one hundred ninety billion, eight hundred twenty-one million, one hundred twenty thousand".