2011121233212 has 192 divisors, whose sum is σ = 5860318464000. Its totient is φ = 522627517440.

The previous prime is 2011121233211. The next prime is 2011121233309. The reversal of 2011121233212 is 2123321211102.

It is a super-2 number, since 2×2011121233212² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011121233211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151103214 + ... + 151116522.

It is an arithmetic number, because the mean of its divisors is an integer number (30522492000).

Almost surely, 2^{2011121233212} 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 2011121233212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930159232000).

2011121233212 is an abundant number, since it is smaller than the sum of its proper divisors (3849197230788).

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

2011121233212 is a wasteful number, since it uses less digits than its factorization.

2011121233212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15356 (or 15354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2011121233212 its reverse (2123321211102), we get a palindrome (4134442444314).

The spelling of 2011121233212 in words is "two trillion, eleven billion, one hundred twenty-one million, two hundred thirty-three thousand, two hundred twelve".