1211672800 has 72 divisors (see below), whose sum is σ = 3185561736. Its totient is φ = 447383040.

The previous prime is 1211672753. The next prime is 1211672801. The reversal of 1211672800 is 82761121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211672801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47854 + ... + 68653.

It is an arithmetic number, because the mean of its divisors is an integer number (44243913).

Almost surely, 2^1211672800 is an apocalyptic number.

1211672800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211672800 is an abundant number, since it is smaller than the sum of its proper divisors (1973888936).

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

1211672800 is a wasteful number, since it uses less digits than its factorization.

1211672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116540 (or 116527 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1211672800 is about 34809.0907666374. The cubic root of 1211672800 is about 1066.0930683398.

The spelling of 1211672800 in words is "one billion, two hundred eleven million, six hundred seventy-two thousand, eight hundred".