122113422330400 has 288 divisors, whose sum is σ = 307346123120400. Its totient is φ = 47347885670400.

The previous prime is 122113422330353. The next prime is 122113422330409. The reversal of 122113422330400 is 4033224311221.

It can be written as a sum of positive squares in 24 ways, for example, as 35428161048336 + 86685261282064 = 5952156^2 + 9310492^2 .

It is not an unprimeable number, because it can be changed into a prime (122113422330409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5247889966 + ... + 5247913234.

Almost surely, 2^{122113422330400} is an apocalyptic number.

122113422330400 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 122113422330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153673061560200).

122113422330400 is an abundant number, since it is smaller than the sum of its proper divisors (185232700790000).

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

122113422330400 is a wasteful number, since it uses less digits than its factorization.

122113422330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24352 (or 24339 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 122113422330400 its reverse (4033224311221), we get a palindrome (126146646641621).

The spelling of 122113422330400 in words is "one hundred twenty-two trillion, one hundred thirteen billion, four hundred twenty-two million, three hundred thirty thousand, four hundred".