122045400 has 192 divisors, whose sum is σ = 426535200. Its totient is φ = 32071680.

The previous prime is 122045389. The next prime is 122045401. The reversal of 122045400 is 4540221.

122045400 is a `hidden beast` number, since 1 + 220 + 45 + 400 = 666.

It is a super-2 number, since 2×122045400² = 29790159322320000, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122045401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523684 + ... + 523916.

Almost surely, 2^122045400 is an apocalyptic number.

122045400 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 122045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

122045400 is an abundant number, since it is smaller than the sum of its proper divisors (304489800).

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

122045400 is a wasteful number, since it uses less digits than its factorization.

122045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122045400 is about 11047.4159874606. The cubic root of 122045400 is about 496.0290804143.

Adding to 122045400 its reverse (4540221), we get a palindrome (126585621).

The spelling of 122045400 in words is "one hundred twenty-two million, forty-five thousand, four hundred".