122052735 has 96 divisors (see below), whose sum is σ = 258785280. Its totient is φ = 52012800.

The previous prime is 122052727. The next prime is 122052757. The reversal of 122052735 is 537250221.

It is not a de Polignac number, because 122052735 - 2³ = 122052727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122052699 and 122052708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282970 + ... + 283400.

It is an arithmetic number, because the mean of its divisors is an integer number (2695680).

Almost surely, 2^122052735 is an apocalyptic number.

122052735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122052735 is an abundant number, since it is smaller than the sum of its proper divisors (136732545).

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

122052735 is a wasteful number, since it uses less digits than its factorization.

122052735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 122052735 is about 11047.7479605574. The cubic root of 122052735 is about 496.0390174280.

The spelling of 122052735 in words is "one hundred twenty-two million, fifty-two thousand, seven hundred thirty-five".