122121433110400 has 96 divisors (see below), whose sum is σ = 301684130712000. Its totient is φ = 48847597178880.

The previous prime is 122121433110389. The next prime is 122121433110401. The reversal of 122121433110400 is 4011334121221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121433110401) 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 11 ways as a sum of consecutive naturals, for example, 171962449 + ... + 172671151.

It is an arithmetic number, because the mean of its divisors is an integer number (3142543028250).

Almost surely, 2^{122121433110400} is an apocalyptic number.

122121433110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121433110400 is an abundant number, since it is smaller than the sum of its proper divisors (179562697601600).

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

122121433110400 is an equidigital number, since it uses as much as digits as its factorization.

122121433110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762576 (or 762559 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 122121433110400 its reverse (4011334121221), we get a palindrome (126132767231621).

The spelling of 122121433110400 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, four hundred thirty-three million, one hundred ten thousand, four hundred".