122102014400 has 168 divisors, whose sum is σ = 309576703680. Its totient is φ = 47375319040.

The previous prime is 122102014379. The next prime is 122102014417. The reversal of 122102014400 is 4410201221.

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, 8490416 + ... + 8504784.

Almost surely, 2^122102014400 is an apocalyptic number.

122102014400 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 122102014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154788351840).

122102014400 is an abundant number, since it is smaller than the sum of its proper divisors (187474689280).

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

122102014400 is a wasteful number, since it uses less digits than its factorization.

122102014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14551 (or 14536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122102014400 its reverse (4410201221), we get a palindrome (126512215621).

The spelling of 122102014400 in words is "one hundred twenty-two billion, one hundred two million, fourteen thousand, four hundred".