1297195920 has 120 divisors (see below), whose sum is σ = 4396649400. Its totient is φ = 342724608.

The previous prime is 1297195903. The next prime is 1297195967. The reversal of 1297195920 is 295917921.

It can be written as a sum of positive squares in 4 ways, for example, as 486996624 + 810199296 = 22068^2 + 28464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70216 + ... + 86744.

It is an arithmetic number, because the mean of its divisors is an integer number (36638745).

Almost surely, 2^1297195920 is an apocalyptic number.

1297195920 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 1297195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198324700).

1297195920 is an abundant number, since it is smaller than the sum of its proper divisors (3099453480).

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

1297195920 is a wasteful number, since it uses less digits than its factorization.

1297195920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657 (or 16648 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 1297195920 is about 36016.6061699322. The cubic root of 1297195920 is about 1090.6076122985.

The spelling of 1297195920 in words is "one billion, two hundred ninety-seven million, one hundred ninety-five thousand, nine hundred twenty".