10312254115152 has 160 divisors (see below), whose sum is σ = 30067984097280. Its totient is φ = 3016763420160.

The previous prime is 10312254115151. The next prime is 10312254115183. The reversal of 10312254115152 is 25151145221301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312254115151) by changing a digit.

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, 125011873 + ... + 125094335.

It is an arithmetic number, because the mean of its divisors is an integer number (187924900608).

Almost surely, 2^{10312254115152} is an apocalyptic number.

10312254115152 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 10312254115152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033992048640).

10312254115152 is an abundant number, since it is smaller than the sum of its proper divisors (19755729982128).

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

10312254115152 is a wasteful number, since it uses less digits than its factorization.

10312254115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90681 (or 90675 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 10312254115152 its reverse (25151145221301), we get a palindrome (35463399336453).

The spelling of 10312254115152 in words is "ten trillion, three hundred twelve billion, two hundred fifty-four million, one hundred fifteen thousand, one hundred fifty-two".