122024400 has 120 divisors (see below), whose sum is σ = 397531104. Its totient is φ = 31987200.

The previous prime is 122024389. The next prime is 122024417. The reversal of 122024400 is 4420221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122024400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72367 + ... + 74033.

Almost surely, 2^122024400 is an apocalyptic number.

122024400 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 122024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198765552).

122024400 is an abundant number, since it is smaller than the sum of its proper divisors (275506704).

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

122024400 is a wasteful number, since it uses less digits than its factorization.

122024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 122024400 is about 11046.4654980677. The cubic root of 122024400 is about 496.0006286846. Note that the first 3 decimals are identical.

Adding to 122024400 its reverse (4420221), we get a palindrome (126444621).

The spelling of 122024400 in words is "one hundred twenty-two million, twenty-four thousand, four hundred".