1211868000 has 576 divisors, whose sum is σ = 5153803200. Its totient is φ = 275788800.

The previous prime is 1211867981. The next prime is 1211868017. The reversal of 1211868000 is 8681121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291886 + ... + 5292114.

It is an arithmetic number, because the mean of its divisors is an integer number (8947575).

Almost surely, 2^1211868000 is an apocalyptic number.

1211868000 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 1211868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576901600).

1211868000 is an abundant number, since it is smaller than the sum of its proper divisors (3941935200).

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

1211868000 is a wasteful number, since it uses less digits than its factorization.

1211868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1211868000 is about 34811.8945189715. The cubic root of 1211868000 is about 1066.1503143204.

The spelling of 1211868000 in words is "one billion, two hundred eleven million, eight hundred sixty-eight thousand".