1296979200 has 648 divisors, whose sum is σ = 5337783360. Its totient is φ = 297369600.

The previous prime is 1296979163. The next prime is 1296979219. The reversal of 1296979200 is 29796921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14572756 + ... + 14572844.

It is an arithmetic number, because the mean of its divisors is an integer number (8237320).

Almost surely, 2^1296979200 is an apocalyptic number.

1296979200 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 1296979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668891680).

1296979200 is an abundant number, since it is smaller than the sum of its proper divisors (4040804160).

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

1296979200 is a wasteful number, since it uses less digits than its factorization.

1296979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1296979200 is about 36013.5974320811. The cubic root of 1296979200 is about 1090.5468736848.

The spelling of 1296979200 in words is "one billion, two hundred ninety-six million, nine hundred seventy-nine thousand, two hundred".