122834016 has 48 divisors (see below), whose sum is σ = 358268400. Its totient is φ = 40944384.

The previous prime is 122834009. The next prime is 122834017. The reversal of 122834016 is 610438221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122834017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70221 + ... + 71948.

It is an arithmetic number, because the mean of its divisors is an integer number (7463925).

Almost surely, 2^122834016 is an apocalyptic number.

122834016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122834016 is an abundant number, since it is smaller than the sum of its proper divisors (235434384).

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

122834016 is a wasteful number, since it uses less digits than its factorization.

122834016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142188 (or 142174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122834016 is about 11083.0508435178. The cubic root of 122834016 is about 497.0951780332.

The spelling of 122834016 in words is "one hundred twenty-two million, eight hundred thirty-four thousand, sixteen".