132122010300 has 288 divisors, whose sum is σ = 440721792000. Its totient is φ = 29935319040.

The previous prime is 132122010289. The next prime is 132122010311. The reversal of 132122010300 is 3010221231.

It is an interprime number because it is at equal distance from previous prime (132122010289) and next prime (132122010311).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132122010300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170920714 + ... + 170921486.

It is an arithmetic number, because the mean of its divisors is an integer number (1530284000).

Almost surely, 2^132122010300 is an apocalyptic number.

132122010300 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 132122010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220360896000).

132122010300 is an abundant number, since it is smaller than the sum of its proper divisors (308599781700).

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

132122010300 is a wasteful number, since it uses less digits than its factorization.

132122010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132122010300 its reverse (3010221231), we get a palindrome (135132231531).

The spelling of 132122010300 in words is "one hundred thirty-two billion, one hundred twenty-two million, ten thousand, three hundred".