103122272000 has 576 divisors, whose sum is σ = 312690792960. Its totient is φ = 33398784000.

The previous prime is 103122271991. The next prime is 103122272009. The reversal of 103122272000 is 272221301.

It is an interprime number because it is at equal distance from previous prime (103122271991) and next prime (103122272009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103122272009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113695547 + ... + 113696453.

It is an arithmetic number, because the mean of its divisors is an integer number (542865960).

Almost surely, 2^103122272000 is an apocalyptic number.

103122272000 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 103122272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156345396480).

103122272000 is an abundant number, since it is smaller than the sum of its proper divisors (209568520960).

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

103122272000 is a wasteful number, since it uses less digits than its factorization.

103122272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 103122272000 its reverse (272221301), we get a palindrome (103394493301).

The spelling of 103122272000 in words is "one hundred three billion, one hundred twenty-two million, two hundred seventy-two thousand".