1212288800 has 54 divisors (see below), whose sum is σ = 2961906129. Its totient is φ = 484521600.

The previous prime is 1212288797. The next prime is 1212288811. The reversal of 1212288800 is 88822121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1188043024 + 24245776 = 34468^2 + 4924^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24620.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 984185 + ... + 985415.

Almost surely, 2^1212288800 is an apocalyptic number.

1212288800 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 1212288800

1212288800 is an abundant number, since it is smaller than the sum of its proper divisors (1749617329).

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

1212288800 is an frugal number, since it uses more digits than its factorization.

1212288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 1212288800 is about 34817.9379056256. The cubic root of 1212288800 is about 1066.2737007331.

Multiplying 1212288800 by its sum of digits (32), we get a square (38793241600 = 196960²).

1212288800 divided by its sum of digits (32) gives a square (37884025 = 6155²).

The spelling of 1212288800 in words is "one billion, two hundred twelve million, two hundred eighty-eight thousand, eight hundred".