122535120 has 80 divisors (see below), whose sum is σ = 390153600. Its totient is φ = 31790592.

The previous prime is 122535109. The next prime is 122535131. The reversal of 122535120 is 21535221.

It is an interprime number because it is at equal distance from previous prime (122535109) and next prime (122535131).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (4876920).

Almost surely, 2^122535120 is an apocalyptic number.

122535120 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 122535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195076800).

122535120 is an abundant number, since it is smaller than the sum of its proper divisors (267618480).

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

122535120 is a wasteful number, since it uses less digits than its factorization.

122535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13852 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 122535120 is about 11069.5582567689. The cubic root of 122535120 is about 496.6916512713.

The spelling of 122535120 in words is "one hundred twenty-two million, five hundred thirty-five thousand, one hundred twenty".