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122121216 = 210337631

122121216 has 176 divisors, whose sum is σ = 413985280. Its totient is φ = 34836480.

The previous prime is 122121203. The next prime is 122121239. The reversal of 122121216 is 612121221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisibly by the product of its digits.

It is an insolite number, because it is divisible by the sum (56) and by the product (9216) of the squares 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, 193221 + ... + 193851.

Almost surely, 2122121216 is an apocalyptic number.

122121216 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 122121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206992640).

122121216 is an abundant number, since it is smaller than the sum of its proper divisors (291864064).

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

122121216 is an equidigital number, since it uses as much as digits as its factorization.

122121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 643 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 122121216 is about 11050.8468453780. The cubic root of 122121216 is about 496.1317721344.

The spelling of 122121216 in words is "one hundred twenty-two million, one hundred twenty-one thousand, two hundred sixteen".