1200121002112 has 96 divisors (see below), whose sum is σ = 2420235368460. Its totient is φ = 592754472960.

The previous prime is 1200121002061. The next prime is 1200121002133. The reversal of 1200121002112 is 2112001210021.

It can be written as a sum of positive squares in 2 ways, for example, as 1007807178816 + 192313823296 = 1003896^2 + 438536^2 .

It is a super-2 number, since 2×1200121002112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1200121002092 and 1200121002101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 733121358 + ... + 733122994.

Almost surely, 2^{1200121002112} 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 1200121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210117684230).

1200121002112 is an abundant number, since it is smaller than the sum of its proper divisors (1220114366348).

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

1200121002112 is an equidigital number, since it uses as much as digits as its factorization.

1200121002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1200121002112 its reverse (2112001210021), we get a palindrome (3312122212133).

The spelling of 1200121002112 in words is "one trillion, two hundred billion, one hundred twenty-one million, two thousand, one hundred twelve".