122142144 has 112 divisors (see below), whose sum is σ = 357274368. Its totient is φ = 36630528.

The previous prime is 122142131. The next prime is 122142169. The reversal of 122142144 is 441241221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122142144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74259 + ... + 75885.

Almost surely, 2^122142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178637184).

122142144 is an abundant number, since it is smaller than the sum of its proper divisors (235132224).

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

122142144 is a wasteful number, since it uses less digits than its factorization.

122142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1672 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 122142144 is about 11051.7937005719. The cubic root of 122142144 is about 496.1601113343.

Adding to 122142144 its reverse (441241221), we get a palindrome (563383365).

It can be divided in two parts, 1221 and 42144, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 122142144 in words is "one hundred twenty-two million, one hundred forty-two thousand, one hundred forty-four".