1300001202000 has 120 divisors (see below), whose sum is σ = 4540470927720. Its totient is φ = 346666982400.

The previous prime is 1300001201971. The next prime is 1300001202001. The reversal of 1300001202000 is 2021000031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 237036816 + 1299764165184 = 15396^2 + 1140072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300001202001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36093145 + ... + 36129144.

It is an arithmetic number, because the mean of its divisors is an integer number (37837257731).

Almost surely, 2^{1300001202000} is an apocalyptic number.

1300001202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300001202000 is an abundant number, since it is smaller than the sum of its proper divisors (3240469725720).

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

1300001202000 is a wasteful number, since it uses less digits than its factorization.

1300001202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72222318 (or 72222299 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1300001202000 its reverse (2021000031), we get a palindrome (1302022202031).

The spelling of 1300001202000 in words is "one trillion, three hundred billion, one million, two hundred two thousand".