103202022312312 has 256 divisors, whose sum is σ = 328503570969600. Its totient is φ = 26242106880000.

The previous prime is 103202022312293. The next prime is 103202022312373. The reversal of 103202022312312 is 213213220202301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13505362 + ... + 19717982.

It is an arithmetic number, because the mean of its divisors is an integer number (1283217074100).

Almost surely, 2^{103202022312312} is an apocalyptic number.

103202022312312 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 103202022312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164251785484800).

103202022312312 is an abundant number, since it is smaller than the sum of its proper divisors (225301548657288).

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

103202022312312 is a wasteful number, since it uses less digits than its factorization.

103202022312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212838 (or 6212834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103202022312312 its reverse (213213220202301), we get a palindrome (316415242514613).

It can be divided in two parts, 1032020 and 22312312, that added together give a palindrome (23344332).

The spelling of 103202022312312 in words is "one hundred three trillion, two hundred two billion, twenty-two million, three hundred twelve thousand, three hundred twelve".