1266211200 has 192 divisors, whose sum is σ = 4273632720. Its totient is φ = 329318400.

The previous prime is 1266211189. The next prime is 1266211237. The reversal of 1266211200 is 21126621.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391992 + ... + 395208.

Almost surely, 2^1266211200 is an apocalyptic number.

1266211200 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 1266211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136816360).

1266211200 is an abundant number, since it is smaller than the sum of its proper divisors (3007421520).

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

1266211200 is a wasteful number, since it uses less digits than its factorization.

1266211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1266211200 is about 35583.8615105219. The cubic root of 1266211200 is about 1081.8541537707.

Adding to 1266211200 its reverse (21126621), we get a palindrome (1287337821).

The spelling of 1266211200 in words is "one billion, two hundred sixty-six million, two hundred eleven thousand, two hundred".