122301816 has 128 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 31127040.

The previous prime is 122301799. The next prime is 122301877. The reversal of 122301816 is 618103221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 62371 + ... + 64301.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^122301816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122301816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

122301816 is an abundant number, since it is smaller than the sum of its proper divisors (267189384).

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

122301816 is a wasteful number, since it uses less digits than its factorization.

122301816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 122301816 is about 11059.0151460245. The cubic root of 122301816 is about 496.3762212371.

The spelling of 122301816 in words is "one hundred twenty-two million, three hundred one thousand, eight hundred sixteen".