1220420313200 has 240 divisors, whose sum is σ = 3307134044160. Its totient is φ = 428778624000.

The previous prime is 1220420313173. The next prime is 1220420313209. The reversal of 1220420313200 is 23130240221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220420313209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88243886 + ... + 88257714.

It is an arithmetic number, because the mean of its divisors is an integer number (13779725184).

Almost surely, 2^{1220420313200} is an apocalyptic number.

1220420313200 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 1220420313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653567022080).

1220420313200 is an abundant number, since it is smaller than the sum of its proper divisors (2086713730960).

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

1220420313200 is a wasteful number, since it uses less digits than its factorization.

1220420313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14536 (or 14525 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1220420313200 its reverse (23130240221), we get a palindrome (1243550553421).

The spelling of 1220420313200 in words is "one trillion, two hundred twenty billion, four hundred twenty million, three hundred thirteen thousand, two hundred".