122006544 has 80 divisors (see below), whose sum is σ = 345406464. Its totient is φ = 36803200.

The previous prime is 122006539. The next prime is 122006551. The reversal of 122006544 is 445600221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 163837 + ... + 164579.

Almost surely, 2^122006544 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 122006544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172703232).

122006544 is an abundant number, since it is smaller than the sum of its proper divisors (223399920).

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

122006544 is a wasteful number, since it uses less digits than its factorization.

122006544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 122006544 is about 11045.6572461760. The cubic root of 122006544 is about 495.9764340174.

Adding to 122006544 its reverse (445600221), we get a palindrome (567606765).

The spelling of 122006544 in words is "one hundred twenty-two million, six thousand, five hundred forty-four".