122010400 has 144 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 44098560.

The previous prime is 122010397. The next prime is 122010403. The reversal of 122010400 is 4010221.

It is an interprime number because it is at equal distance from previous prime (122010397) and next prime (122010403).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122010403) 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 23 ways as a sum of consecutive naturals, for example, 349426 + ... + 349774.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 2^122010400 is an apocalyptic number.

122010400 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 122010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

122010400 is an abundant number, since it is smaller than the sum of its proper divisors (206093600).

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

122010400 is a wasteful number, since it uses less digits than its factorization.

122010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122010400 is about 11045.8317930340. The cubic root of 122010400 is about 495.9816590513.

Adding to 122010400 its reverse (4010221), we get a palindrome (126020621).

The spelling of 122010400 in words is "one hundred twenty-two million, ten thousand, four hundred".