1291768200 has 288 divisors, whose sum is σ = 4622248800. Its totient is φ = 322375680.

The previous prime is 1291768189. The next prime is 1291768207. The reversal of 1291768200 is 28671921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1291768207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3659224 + ... + 3659576.

It is an arithmetic number, because the mean of its divisors is an integer number (16049475).

Almost surely, 2^1291768200 is an apocalyptic number.

1291768200 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 1291768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311124400).

1291768200 is an abundant number, since it is smaller than the sum of its proper divisors (3330480600).

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

1291768200 is a wasteful number, since it uses less digits than its factorization.

1291768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1291768200 is about 35941.1769423318. The cubic root of 1291768200 is about 1089.0843810388.

The spelling of 1291768200 in words is "one billion, two hundred ninety-one million, seven hundred sixty-eight thousand, two hundred".