1220551200 has 432 divisors, whose sum is σ = 4862501280. Its totient is φ = 295257600.

The previous prime is 1220551187. The next prime is 1220551201. The reversal of 1220551200 is 21550221.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×1220551200³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1220551201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2613367 + ... + 2613833.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2^1220551200 is an apocalyptic number.

1220551200 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 1220551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431250640).

1220551200 is an abundant number, since it is smaller than the sum of its proper divisors (3641950080).

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

1220551200 is a wasteful number, since it uses less digits than its factorization.

1220551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1220551200 is about 34936.3879071664. The cubic root of 1220551200 is about 1068.6906276651.

The spelling of 1220551200 in words is "one billion, two hundred twenty million, five hundred fifty-one thousand, two hundred".