1294120800 has 504 divisors, whose sum is σ = 5430496176. Its totient is φ = 294865920.

The previous prime is 1294120781. The next prime is 1294120813. The reversal of 1294120800 is 80214921.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082242 + ... + 4082558.

It is an arithmetic number, because the mean of its divisors is an integer number (10774794).

Almost surely, 2^1294120800 is an apocalyptic number.

1294120800 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 1294120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715248088).

1294120800 is an abundant number, since it is smaller than the sum of its proper divisors (4136375376).

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

1294120800 is an equidigital number, since it uses as much as digits as its factorization.

1294120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1294120800 is about 35973.8905318844. The cubic root of 1294120800 is about 1089.7451358223.

The spelling of 1294120800 in words is "one billion, two hundred ninety-four million, one hundred twenty thousand, eight hundred".