122181144 has 16 divisors (see below), whose sum is σ = 305452920. Its totient is φ = 40727040.

The previous prime is 122181119. The next prime is 122181179. The reversal of 122181144 is 441181221.

It is a super-3 number, since 3×122181144³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5090881 = 122181144 / (1 + 2 + 2 + 1 + 8 + 1 + 1 + 4 + 4).

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 3 ways as a sum of consecutive naturals, for example, 2545417 + ... + 2545464.

Almost surely, 2^122181144 is an apocalyptic number.

It is an amenable number.

122181144 is an abundant number, since it is smaller than the sum of its proper divisors (183271776).

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

122181144 is a wasteful number, since it uses less digits than its factorization.

122181144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090890 (or 5090886 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 122181144 is about 11053.5579792210. The cubic root of 122181144 is about 496.2129137075.

The spelling of 122181144 in words is "one hundred twenty-two million, one hundred eighty-one thousand, one hundred forty-four".