122544100 has 108 divisors (see below), whose sum is σ = 313925220. Its totient is φ = 41395200.

The previous prime is 122544073. The next prime is 122544113. The reversal of 122544100 is 1445221.

It can be written as a sum of positive squares in 6 ways, for example, as 5731236 + 116812864 = 2394^2 + 10808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435960 + ... + 436240.

It is an arithmetic number, because the mean of its divisors is an integer number (2906715).

Almost surely, 2^122544100 is an apocalyptic number.

122544100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156962610).

122544100 is an abundant number, since it is smaller than the sum of its proper divisors (191381120).

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

122544100 is a wasteful number, since it uses less digits than its factorization.

122544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 122544100 is about 11069.9638662464. The cubic root of 122544100 is about 496.7037843427.

Adding to 122544100 its reverse (1445221), we get a palindrome (123989321).

It can be divided in two parts, 1225 and 44100, that multiplied together give a square (54022500 = 7350²).

The spelling of 122544100 in words is "one hundred twenty-two million, five hundred forty-four thousand, one hundred".