103320112322112 has 224 divisors, whose sum is σ = 314551908433152. Its totient is φ = 29319262765056.

The previous prime is 103320112322087. The next prime is 103320112322123. The reversal of 103320112322112 is 211223211023301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×103320112322112² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 123905808 + ... + 124736880.

Almost surely, 2^{103320112322112} is an apocalyptic number.

103320112322112 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 103320112322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157275954216576).

103320112322112 is an abundant number, since it is smaller than the sum of its proper divisors (211231796111040).

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

103320112322112 is a wasteful number, since it uses less digits than its factorization.

103320112322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831725 (or 831715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103320112322112 its reverse (211223211023301), we get a palindrome (314543323345413).

The spelling of 103320112322112 in words is "one hundred three trillion, three hundred twenty billion, one hundred twelve million, three hundred twenty-two thousand, one hundred twelve".