122135420 has 96 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 41299200.

The previous prime is 122135383. The next prime is 122135441. The reversal of 122135420 is 24531221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122135392 and 122135401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254741 + ... + 255219.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^122135420 is an apocalyptic number.

122135420 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 122135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

122135420 is an abundant number, since it is smaller than the sum of its proper divisors (177845380).

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

122135420 is a wasteful number, since it uses less digits than its factorization.

122135420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 122135420 is about 11051.4894923716. The cubic root of 122135420 is about 496.1510065277.

Adding to 122135420 its reverse (24531221), we get a palindrome (146666641).

The spelling of 122135420 in words is "one hundred twenty-two million, one hundred thirty-five thousand, four hundred twenty".