1012022113212 has 288 divisors, whose sum is σ = 3068166366720. Its totient is φ = 277643773440.

The previous prime is 1012022113211. The next prime is 1012022113213. The reversal of 1012022113212 is 2123112202101.

1012022113212 is a `hidden beast` number, since 1 + 0 + 120 + 221 + 1 + 321 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1012022113211) and next prime (1012022113213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012022113211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258364678 + ... + 258368594.

It is an arithmetic number, because the mean of its divisors is an integer number (10653355440).

Almost surely, 2^{1012022113212} is an apocalyptic number.

1012022113212 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 1012022113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534083183360).

1012022113212 is an abundant number, since it is smaller than the sum of its proper divisors (2056144253508).

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

1012022113212 is a wasteful number, since it uses less digits than its factorization.

1012022113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1012022113212 its reverse (2123112202101), we get a palindrome (3135134315313).

The spelling of 1012022113212 in words is "one trillion, twelve billion, twenty-two million, one hundred thirteen thousand, two hundred twelve".