1297220400 has 240 divisors, whose sum is σ = 5277043200. Its totient is φ = 296490240.

The previous prime is 1297220387. The next prime is 1297220413. The reversal of 1297220400 is 40227921.

It is an interprime number because it is at equal distance from previous prime (1297220387) and next prime (1297220413).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67021 + ... + 84179.

It is an arithmetic number, because the mean of its divisors is an integer number (21987680).

Almost surely, 2^1297220400 is an apocalyptic number.

1297220400 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 1297220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638521600).

1297220400 is an abundant number, since it is smaller than the sum of its proper divisors (3979822800).

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

1297220400 is a wasteful number, since it uses less digits than its factorization.

1297220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17193 (or 17176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1297220400 is about 36016.9460115652. The cubic root of 1297220400 is about 1090.6144727133.

The spelling of 1297220400 in words is "one billion, two hundred ninety-seven million, two hundred twenty thousand, four hundred".