112102022121012 has 288 divisors, whose sum is σ = 358642166448384. Its totient is φ = 28677535488000.

The previous prime is 112102022120993. The next prime is 112102022121071. The reversal of 112102022121012 is 210121220201211.

112102022121012 is a `hidden beast` number, since 1 + 1 + 210 + 20 + 221 + 210 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141456418 + ... + 142246694.

It is an arithmetic number, because the mean of its divisors is an integer number (1245285300168).

Almost surely, 2^{112102022121012} is an apocalyptic number.

112102022121012 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 112102022121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179321083224192).

112102022121012 is an abundant number, since it is smaller than the sum of its proper divisors (246540144327372).

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

112102022121012 is a wasteful number, since it uses less digits than its factorization.

112102022121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791079 (or 791074 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112102022121012 its reverse (210121220201211), we get a palindrome (322223242322223).

The spelling of 112102022121012 in words is "one hundred twelve trillion, one hundred two billion, twenty-two million, one hundred twenty-one thousand, twelve".