103112000112000 has 1024 divisors, whose sum is σ = 394310052864000. Its totient is φ = 23600332800000.

The previous prime is 103112000111993. The next prime is 103112000112007. The reversal of 103112000112000 is 211000211301.

It is an interprime number because it is at equal distance from previous prime (103112000111993) and next prime (103112000112007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112000112007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 671011176 + ... + 671164824.

It is an arithmetic number, because the mean of its divisors is an integer number (385068411000).

Almost surely, 2^{103112000112000} is an apocalyptic number.

103112000112000 is a gapful number since it is divisible by the number (10) 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 103112000112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197155026432000).

103112000112000 is an abundant number, since it is smaller than the sum of its proper divisors (291198052752000).

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

103112000112000 is a wasteful number, since it uses less digits than its factorization.

103112000112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153764 (or 153742 counting only the distinct ones).

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

Adding to 103112000112000 its reverse (211000211301), we get a palindrome (103323000323301).

The spelling of 103112000112000 in words is "one hundred three trillion, one hundred twelve billion, one hundred twelve thousand".