122205054400 has 168 divisors, whose sum is σ = 353271545424. Its totient is φ = 41019801600.

The previous prime is 122205054371. The next prime is 122205054407. The reversal of 122205054400 is 4450502221.

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 (122205054407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38257 + ... + 495856.

It is an arithmetic number, because the mean of its divisors is an integer number (2102806818).

Almost surely, 2^122205054400 is an apocalyptic number.

122205054400 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 122205054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176635772712).

122205054400 is an abundant number, since it is smaller than the sum of its proper divisors (231066491024).

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

122205054400 is a wasteful number, since it uses less digits than its factorization.

122205054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534159 (or 534144 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 122205054400 its reverse (4450502221), we get a palindrome (126655556621).

The spelling of 122205054400 in words is "one hundred twenty-two billion, two hundred five million, fifty-four thousand, four hundred".