1002150225312 has 96 divisors (see below), whose sum is σ = 2652198764544. Its totient is φ = 331314681600.

The previous prime is 1002150225269. The next prime is 1002150225341. The reversal of 1002150225312 is 2135220512001.

1002150225312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44745637 + ... + 44768027.

It is an arithmetic number, because the mean of its divisors is an integer number (27627070464).

Almost surely, 2^{1002150225312} is an apocalyptic number.

1002150225312 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 1002150225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326099382272).

1002150225312 is an abundant number, since it is smaller than the sum of its proper divisors (1650048539232).

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

1002150225312 is a wasteful number, since it uses less digits than its factorization.

1002150225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26202 (or 26194 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1002150225312 its reverse (2135220512001), we get a palindrome (3137370737313).

The spelling of 1002150225312 in words is "one trillion, two billion, one hundred fifty million, two hundred twenty-five thousand, three hundred twelve".