122134412400 has 960 divisors, whose sum is σ = 556290395136. Its totient is φ = 22044672000.

The previous prime is 122134412399. The next prime is 122134412423. The reversal of 122134412400 is 4214431221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20417410 + ... + 20423390.

Almost surely, 2^122134412400 is an apocalyptic number.

122134412400 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 122134412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278145197568).

122134412400 is an abundant number, since it is smaller than the sum of its proper divisors (434155982736).

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

122134412400 is a wasteful number, since it uses less digits than its factorization.

122134412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122134412400 its reverse (4214431221), we get a palindrome (126348843621).

The spelling of 122134412400 in words is "one hundred twenty-two billion, one hundred thirty-four million, four hundred twelve thousand, four hundred".