122441400 has 72 divisors (see below), whose sum is σ = 411205080. Its totient is φ = 32650560.

The previous prime is 122441381. The next prime is 122441419. The reversal of 122441400 is 4144221.

122441400 is a `hidden beast` number, since 1 + 224 + 41 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (122441381) and next prime (122441419).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32212 + ... + 35811.

Almost surely, 2^122441400 is an apocalyptic number.

122441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122441400 is an abundant number, since it is smaller than the sum of its proper divisors (288763680).

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

122441400 is a wasteful number, since it uses less digits than its factorization.

122441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68045 (or 68033 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122441400 is about 11065.3242157652. The cubic root of 122441400 is about 496.5649887700.

Adding to 122441400 its reverse (4144221), we get a palindrome (126585621).

It can be divided in two parts, 1224 and 41400, that added together give a palindrome (42624).

The spelling of 122441400 in words is "one hundred twenty-two million, four hundred forty-one thousand, four hundred".