1019200202000 has 80 divisors (see below), whose sum is σ = 2467819466112. Its totient is φ = 407118729600.

The previous prime is 1019200201927. The next prime is 1019200202011. The reversal of 1019200202000 is 2020029101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1019200202000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1103519 + ... + 1804481.

Almost surely, 2^{1019200202000} is an apocalyptic number.

1019200202000 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 1019200202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233909733056).

1019200202000 is an abundant number, since it is smaller than the sum of its proper divisors (1448619264112).

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

1019200202000 is an equidigital number, since it uses as much as digits as its factorization.

1019200202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701713 (or 701697 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 1019200202000 in words is "one trillion, nineteen billion, two hundred million, two hundred two thousand".