103122122233312 has 192 divisors, whose sum is σ = 255003484829184. Its totient is φ = 39964636293120.

The previous prime is 103122122233283. The next prime is 103122122233343. The reversal of 103122122233312 is 213332221221301.

It is a super-2 number, since 2×103122122233312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33853743 + ... + 36773905.

It is an arithmetic number, because the mean of its divisors is an integer number (1328143150152).

Almost surely, 2^{103122122233312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103122122233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127501742414592).

103122122233312 is an abundant number, since it is smaller than the sum of its proper divisors (151881362595872).

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

103122122233312 is a wasteful number, since it uses less digits than its factorization.

103122122233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920441 (or 2920433 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 103122122233312 its reverse (213332221221301), we get a palindrome (316454343454613).

The spelling of 103122122233312 in words is "one hundred three trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thirty-three thousand, three hundred twelve".