122535140 has 72 divisors (see below), whose sum is σ = 318507840. Its totient is φ = 38772864.

The previous prime is 122535139. The next prime is 122535143. The reversal of 122535140 is 41535221.

It is not an unprimeable number, because it can be changed into a prime (122535143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21071 + ... + 26249.

It is an arithmetic number, because the mean of its divisors is an integer number (4423720).

Almost surely, 2^122535140 is an apocalyptic number.

122535140 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 122535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159253920).

122535140 is an abundant number, since it is smaller than the sum of its proper divisors (195972700).

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

122535140 is a wasteful number, since it uses less digits than its factorization.

122535140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 122535140 is about 11069.5591601473. The cubic root of 122535140 is about 496.6916782944.

The spelling of 122535140 in words is "one hundred twenty-two million, five hundred thirty-five thousand, one hundred forty".