1302201000032 has 192 divisors, whose sum is σ = 2825637986304. Its totient is φ = 588746949120.

The previous prime is 1302200999989. The next prime is 1302201000047. The reversal of 1302201000032 is 2300001022031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1302200999980 and 1302201000016.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 843940253 + ... + 843941795.

It is an arithmetic number, because the mean of its divisors is an integer number (14716864512).

Almost surely, 2^{1302201000032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302201000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412818993152).

1302201000032 is an abundant number, since it is smaller than the sum of its proper divisors (1523436986272).

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

1302201000032 is a wasteful number, since it uses less digits than its factorization.

1302201000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1302201000032 its reverse (2300001022031), we get a palindrome (3602202022063).

The spelling of 1302201000032 in words is "one trillion, three hundred two billion, two hundred one million, thirty-two", and thus it is an aban number.