1201875456 has 160 divisors (see below), whose sum is σ = 3387783168. Its totient is φ = 378040320.

The previous prime is 1201875383. The next prime is 1201875463. The reversal of 1201875456 is 6545781021.

It is a super-2 number, since 2×1201875456² = 2889009223470415872, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2047195 + ... + 2047781.

Almost surely, 2^1201875456 is an apocalyptic number.

1201875456 is a gapful number since it is divisible by the number (16) 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 1201875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693891584).

1201875456 is an abundant number, since it is smaller than the sum of its proper divisors (2185907712).

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

1201875456 is an equidigital number, since it uses as much as digits as its factorization.

1201875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 1201875456 is about 34668.0754585541. The cubic root of 1201875456 is about 1063.2118836361.

The spelling of 1201875456 in words is "one billion, two hundred one million, eight hundred seventy-five thousand, four hundred fifty-six".