122441320402400 has 144 divisors (see below), whose sum is σ = 301188123445104. Its totient is φ = 48604123975680.

The previous prime is 122441320402399. The next prime is 122441320402507. The reversal of 122441320402400 is 4204023144221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87587324 + ... + 88974276.

It is an arithmetic number, because the mean of its divisors is an integer number (2091584190591).

Almost surely, 2^{122441320402400} is an apocalyptic number.

122441320402400 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 122441320402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150594061722552).

122441320402400 is an abundant number, since it is smaller than the sum of its proper divisors (178746803042704).

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

122441320402400 is a wasteful number, since it uses less digits than its factorization.

122441320402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387813 (or 1387800 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 122441320402400 its reverse (4204023144221), we get a palindrome (126645343546621).

The spelling of 122441320402400 in words is "one hundred twenty-two trillion, four hundred forty-one billion, three hundred twenty million, four hundred two thousand, four hundred".