1220222120400 has 180 divisors, whose sum is σ = 4235018610732. Its totient is φ = 325353461760.

The previous prime is 1220222120363. The next prime is 1220222120401. The reversal of 1220222120400 is 40212220221.

1220222120400 is a `hidden beast` number, since 1 + 2 + 20 + 2 + 221 + 20 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24033680784 + 1196188439616 = 155028^2 + 1093704^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1220222120400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220222120401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41950662 + ... + 41979738.

Almost surely, 2^{1220222120400} is an apocalyptic number.

1220222120400 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 1220222120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117509305366).

1220222120400 is an abundant number, since it is smaller than the sum of its proper divisors (3014796490332).

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

1220222120400 is a wasteful number, since it uses less digits than its factorization.

1220222120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40758 (or 40744 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1220222120400 its reverse (40212220221), we get a palindrome (1260434340621).

It can be divided in two parts, 122022 and 2120400, that added together give a palindrome (2242422).

The spelling of 1220222120400 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty thousand, four hundred".