122135040 has 400 divisors, whose sum is σ = 475326720. Its totient is φ = 29859840.

The previous prime is 122135003. The next prime is 122135051. The reversal of 122135040 is 40531221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3939825 + ... + 3939855.

Almost surely, 2^122135040 is an apocalyptic number.

122135040 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 122135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237663360).

122135040 is an abundant number, since it is smaller than the sum of its proper divisors (353191680).

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

122135040 is an equidigital number, since it uses as much as digits as its factorization.

122135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122135040 is about 11051.4723001055. The cubic root of 122135040 is about 496.1504919688.

Adding to 122135040 its reverse (40531221), we get a palindrome (162666261).

The spelling of 122135040 in words is "one hundred twenty-two million, one hundred thirty-five thousand, forty".