122949321 has 32 divisors (see below), whose sum is σ = 193425408. Its totient is φ = 68624640.

The previous prime is 122949319. The next prime is 122949331. The reversal of 122949321 is 123949221.

It is not a de Polignac number, because 122949321 - 2¹ = 122949319 is a prime.

It is a super-3 number, since 3×122949321³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122949331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24036 + ... + 28698.

It is an arithmetic number, because the mean of its divisors is an integer number (6044544).

Almost surely, 2^122949321 is an apocalyptic number.

122949321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122949321 is a deficient number, since it is larger than the sum of its proper divisors (70476087).

122949321 is a wasteful number, since it uses less digits than its factorization.

122949321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741.

The product of its digits is 7776, while the sum is 33.

The square root of 122949321 is about 11088.2514852433. The cubic root of 122949321 is about 497.2506714270.

The spelling of 122949321 in words is "one hundred twenty-two million, nine hundred forty-nine thousand, three hundred twenty-one".