1000223540712 has 384 divisors, whose sum is σ = 3173803776000. Its totient is φ = 281356830720.

The previous prime is 1000223540711. The next prime is 1000223540749. The reversal of 1000223540712 is 2170453220001.

1000223540712 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 235 + 407 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1000223540711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299197713 + ... + 299201055.

It is an arithmetic number, because the mean of its divisors is an integer number (8265114000).

Almost surely, 2^{1000223540712} is an apocalyptic number.

1000223540712 is a gapful number since it is divisible by the number (12) 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 1000223540712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586901888000).

1000223540712 is an abundant number, since it is smaller than the sum of its proper divisors (2173580235288).

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

1000223540712 is a wasteful number, since it uses less digits than its factorization.

1000223540712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 1000223540712 its reverse (2170453220001), we get a palindrome (3170676760713).

The spelling of 1000223540712 in words is "one trillion, two hundred twenty-three million, five hundred forty thousand, seven hundred twelve".