122132760 has 256 divisors, whose sum is σ = 429235200. Its totient is φ = 27574272.

The previous prime is 122132753. The next prime is 122132761. The reversal of 122132760 is 67231221.

It is a super-2 number, since 2×122132760² = 29832822130435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122132760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132761) 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, 891412 + ... + 891548.

It is an arithmetic number, because the mean of its divisors is an integer number (1676700).

Almost surely, 2^122132760 is an apocalyptic number.

122132760 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 122132760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214617600).

122132760 is an abundant number, since it is smaller than the sum of its proper divisors (307102440).

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

122132760 is a wasteful number, since it uses less digits than its factorization.

122132760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 122132760 is about 11051.3691459475. The cubic root of 122132760 is about 496.1474045934.

Adding to 122132760 its reverse (67231221), we get a palindrome (189363981).

The spelling of 122132760 in words is "one hundred twenty-two million, one hundred thirty-two thousand, seven hundred sixty".