1012555821312 has 1728 divisors, whose sum is σ = 4036971294720. Its totient is φ = 245949530112.

The previous prime is 1012555821311. The next prime is 1012555821323. The reversal of 1012555821312 is 2131285552101.

1012555821312 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 55 + 582 + 13 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1012555821311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3235002468 + ... + 3235002780.

It is an arithmetic number, because the mean of its divisors is an integer number (2336210240).

Almost surely, 2^{1012555821312} is an apocalyptic number.

1012555821312 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 1012555821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018485647360).

1012555821312 is an abundant number, since it is smaller than the sum of its proper divisors (3024415473408).

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

1012555821312 is a wasteful number, since it uses less digits than its factorization.

1012555821312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1012555821312 in words is "one trillion, twelve billion, five hundred fifty-five million, eight hundred twenty-one thousand, three hundred twelve".