122132010 has 256 divisors, whose sum is σ = 406425600. Its totient is φ = 23143680.

The previous prime is 122131987. The next prime is 122132051. The reversal of 122132010 is 10231221.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1471429 + ... + 1471511.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^122132010 is an apocalyptic number.

122132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

122132010 is an abundant number, since it is smaller than the sum of its proper divisors (284293590).

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

122132010 is a wasteful number, since it uses less digits than its factorization.

122132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122132010 is about 11051.3352134482. The cubic root of 122132010 is about 496.1463890010.

Adding to 122132010 its reverse (10231221), we get a palindrome (132363231).

The spelling of 122132010 in words is "one hundred twenty-two million, one hundred thirty-two thousand, ten".