122016492 has 72 divisors (see below), whose sum is σ = 340310880. Its totient is φ = 36622080.

The previous prime is 122016473. The next prime is 122016511. The reversal of 122016492 is 294610221.

122016492 is a `hidden beast` number, since 12 + 2 + 0 + 1 + 649 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (122016473) and next prime (122016511).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16009 + ... + 22367.

It is an arithmetic number, because the mean of its divisors is an integer number (4726540).

Almost surely, 2^122016492 is an apocalyptic number.

122016492 is a gapful number since it is divisible by the number (12) 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 122016492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170155440).

122016492 is an abundant number, since it is smaller than the sum of its proper divisors (218294388).

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

122016492 is a wasteful number, since it uses less digits than its factorization.

122016492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122016492 is about 11046.1075497209. The cubic root of 122016492 is about 495.9899137300.

The spelling of 122016492 in words is "one hundred twenty-two million, sixteen thousand, four hundred ninety-two".