1201120100012 has 96 divisors (see below), whose sum is σ = 2523043461120. Its totient is φ = 489176962560.

The previous prime is 1201120100009. The next prime is 1201120100071. The reversal of 1201120100012 is 2100010211021.

It is a junction number, because it is equal to n+sod(n) for n = 1201120099966 and 1201120100002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131596193 + ... + 131605319.

It is an arithmetic number, because the mean of its divisors is an integer number (26281702720).

Almost surely, 2^{1201120100012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201120100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261521730560).

1201120100012 is an abundant number, since it is smaller than the sum of its proper divisors (1321923361108).

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

1201120100012 is a wasteful number, since it uses less digits than its factorization.

1201120100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10471 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1201120100012 its reverse (2100010211021), we get a palindrome (3301130311033).

The spelling of 1201120100012 in words is "one trillion, two hundred one billion, one hundred twenty million, one hundred thousand, twelve".