1012391136 has 240 divisors, whose sum is σ = 3194951760. Its totient is φ = 313528320.

The previous prime is 1012391057. The next prime is 1012391209. The reversal of 1012391136 is 6311932101.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3003960 + ... + 3004296.

It is an arithmetic number, because the mean of its divisors is an integer number (13312299).

Almost surely, 2^1012391136 is an apocalyptic number.

1012391136 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 1012391136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597475880).

1012391136 is an abundant number, since it is smaller than the sum of its proper divisors (2182560624).

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

1012391136 is a wasteful number, since it uses less digits than its factorization.

1012391136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1012391136 is about 31818.0944746853. The cubic root of 1012391136 is about 1004.1134351179.

The spelling of 1012391136 in words is "one billion, twelve million, three hundred ninety-one thousand, one hundred thirty-six".