220122110400 has 336 divisors, whose sum is σ = 752171724000. Its totient is φ = 56289443840.

The previous prime is 220122110381. The next prime is 220122110413. The reversal of 220122110400 is 4011221022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220122110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20735494 + ... + 20746106.

Almost surely, 2^220122110400 is an apocalyptic number.

220122110400 is a gapful number since it is divisible by the number (20) 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 220122110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376085862000).

220122110400 is an abundant number, since it is smaller than the sum of its proper divisors (532049613600).

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

220122110400 is a wasteful number, since it uses less digits than its factorization.

220122110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220122110400 its reverse (4011221022), we get a palindrome (224133331422).

The spelling of 220122110400 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred ten thousand, four hundred".