122036400 has 180 divisors, whose sum is σ = 428759760. Its totient is φ = 32140800.

The previous prime is 122036371. The next prime is 122036407. The reversal of 122036400 is 4630221.

It is a happy number.

122036400 is a `hidden beast` number, since 1 + 2 + 20 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122036407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392245 + ... + 392555.

Almost surely, 2^122036400 is an apocalyptic number.

122036400 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 122036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214379880).

122036400 is an abundant number, since it is smaller than the sum of its proper divisors (306723360).

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

122036400 is a wasteful number, since it uses less digits than its factorization.

122036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122036400 is about 11047.0086448776. The cubic root of 122036400 is about 496.0168872155.

Adding to 122036400 its reverse (4630221), we get a palindrome (126666621).

The spelling of 122036400 in words is "one hundred twenty-two million, thirty-six thousand, four hundred".