1002201312 has 144 divisors (see below), whose sum is σ = 3075906960. Its totient is φ = 284884992.

The previous prime is 1002201307. The next prime is 1002201353. The reversal of 1002201312 is 2131022001.

1002201312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208514 + ... + 1209342.

It is an arithmetic number, because the mean of its divisors is an integer number (21360465).

Almost surely, 2^1002201312 is an apocalyptic number.

1002201312 is a gapful number since it is divisible by the number (12) 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 1002201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537953480).

1002201312 is an abundant number, since it is smaller than the sum of its proper divisors (2073705648).

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

1002201312 is a wasteful number, since it uses less digits than its factorization.

1002201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1002201312 is about 31657.5632669351. The cubic root of 1002201312 is about 1000.7332329048.

Adding to 1002201312 its reverse (2131022001), we get a palindrome (3133223313).

The spelling of 1002201312 in words is "one billion, two million, two hundred one thousand, three hundred twelve".