122202105510400 has 120 divisors (see below), whose sum is σ = 303133169601504. Its totient is φ = 48821444505600.

The previous prime is 122202105510389. The next prime is 122202105510449. The reversal of 122202105510400 is 4015501202221.

122202105510400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4734255 + ... + 16334545.

Almost surely, 2^{122202105510400} is an apocalyptic number.

122202105510400 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 122202105510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151566584800752).

122202105510400 is an abundant number, since it is smaller than the sum of its proper divisors (180931064091104).

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

122202105510400 is an equidigital number, since it uses as much as digits as its factorization.

122202105510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11601142 (or 11601121 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 122202105510400 its reverse (4015501202221), we get a palindrome (126217606712621).

The spelling of 122202105510400 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred five million, five hundred ten thousand, four hundred".