1012213440 has 672 divisors, whose sum is σ = 4336450560. Its totient is φ = 211673088.

The previous prime is 1012213427. The next prime is 1012213481. The reversal of 1012213440 is 443122101.

1012213440 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 17156131 + ... + 17156189.

Almost surely, 2^1012213440 is an apocalyptic number.

1012213440 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 1012213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168225280).

1012213440 is an abundant number, since it is smaller than the sum of its proper divisors (3324237120).

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

1012213440 is a wasteful number, since it uses less digits than its factorization.

1012213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1012213440 is about 31815.3019787649. The cubic root of 1012213440 is about 1004.0546839842.

Adding to 1012213440 its reverse (443122101), we get a palindrome (1455335541).

The spelling of 1012213440 in words is "one billion, twelve million, two hundred thirteen thousand, four hundred forty".