1022013123012 has 288 divisors, whose sum is σ = 3135236832000. Its totient is φ = 274555008000.

The previous prime is 1022013122969. The next prime is 1022013123067. The reversal of 1022013123012 is 2103213102201.

1022013123012 is a `hidden beast` number, since 10 + 220 + 131 + 2 + 301 + 2 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45013239 + ... + 45035937.

It is an arithmetic number, because the mean of its divisors is an integer number (10886239000).

Almost surely, 2^{1022013123012} is an apocalyptic number.

1022013123012 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 1022013123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567618416000).

1022013123012 is an abundant number, since it is smaller than the sum of its proper divisors (2113223708988).

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

1022013123012 is a wasteful number, since it uses less digits than its factorization.

1022013123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22907 (or 22902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022013123012 its reverse (2103213102201), we get a palindrome (3125226225213).

The spelling of 1022013123012 in words is "one trillion, twenty-two billion, thirteen million, one hundred twenty-three thousand, twelve".