1231291200 has 336 divisors, whose sum is σ = 4444715520. Its totient is φ = 297031680.

The previous prime is 1231291189. The next prime is 1231291211. The reversal of 1231291200 is 21921321.

It is an interprime number because it is at equal distance from previous prime (1231291189) and next prime (1231291211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2097307 + ... + 2097893.

It is an arithmetic number, because the mean of its divisors is an integer number (13228320).

Almost surely, 2^1231291200 is an apocalyptic number.

1231291200 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 1231291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222357760).

1231291200 is an abundant number, since it is smaller than the sum of its proper divisors (3213424320).

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

1231291200 is a wasteful number, since it uses less digits than its factorization.

1231291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1231291200 is about 35089.7591898263. The cubic root of 1231291200 is about 1071.8160559120.

The spelling of 1231291200 in words is "one billion, two hundred thirty-one million, two hundred ninety-one thousand, two hundred".