122361216 has 128 divisors (see below), whose sum is σ = 353817600. Its totient is φ = 37324800.

The previous prime is 122361199. The next prime is 122361227. The reversal of 122361216 is 612163221.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 225906 + ... + 226446.

It is an arithmetic number, because the mean of its divisors is an integer number (2764200).

Almost surely, 2^122361216 is an apocalyptic number.

122361216 is a gapful number since it is divisible by the number (16) 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 122361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176908800).

122361216 is an abundant number, since it is smaller than the sum of its proper divisors (231456384).

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

122361216 is a wasteful number, since it uses less digits than its factorization.

122361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 122361216 is about 11061.7004117812. The cubic root of 122361216 is about 496.4565688460.

The spelling of 122361216 in words is "one hundred twenty-two million, three hundred sixty-one thousand, two hundred sixteen".