1300020192000 has 1440 divisors, whose sum is σ = 5182252979904. Its totient is φ = 322486272000.

The previous prime is 1300020191999. The next prime is 1300020192041. The reversal of 1300020192000 is 2910200031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7182431910 + ... + 7182432090.

Almost surely, 2^{1300020192000} is an apocalyptic number.

1300020192000 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 1300020192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591126489952).

1300020192000 is an abundant number, since it is smaller than the sum of its proper divisors (3882232787904).

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

1300020192000 is a wasteful number, since it uses less digits than its factorization.

1300020192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1300020192000 its reverse (2910200031), we get a palindrome (1302930392031).

The spelling of 1300020192000 in words is "one trillion, three hundred billion, twenty million, one hundred ninety-two thousand".