122619144 has 64 divisors (see below), whose sum is σ = 316419840. Its totient is φ = 39574080.

The previous prime is 122619143. The next prime is 122619173. The reversal of 122619144 is 441916221.

It is not an unprimeable number, because it can be changed into a prime (122619143) by changing a digit.

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, 134739 + ... + 135645.

It is an arithmetic number, because the mean of its divisors is an integer number (4944060).

Almost surely, 2^122619144 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 122619144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158209920).

122619144 is an abundant number, since it is smaller than the sum of its proper divisors (193800696).

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

122619144 is a wasteful number, since it uses less digits than its factorization.

122619144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 122619144 is about 11073.3528797740. The cubic root of 122619144 is about 496.8051547407.

The spelling of 122619144 in words is "one hundred twenty-two million, six hundred nineteen thousand, one hundred forty-four".