1012201984 has 80 divisors (see below), whose sum is σ = 2075257800. Its totient is φ = 493092864.

The previous prime is 1012201979. The next prime is 1012201997. The reversal of 1012201984 is 4891022101.

It can be written as a sum of positive squares in 4 ways, for example, as 909625600 + 102576384 = 30160^2 + 10128^2 .

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 7 ways as a sum of consecutive naturals, for example, 4419982 + ... + 4420210.

Almost surely, 2^1012201984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037628900).

1012201984 is an abundant number, since it is smaller than the sum of its proper divisors (1063055816).

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

1012201984 is an frugal number, since it uses more digits than its factorization.

1012201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1012201984 is about 31815.1219391031. The cubic root of 1012201984 is about 1004.0508960828.

The spelling of 1012201984 in words is "one billion, twelve million, two hundred one thousand, nine hundred eighty-four".