2121011022312 has 192 divisors, whose sum is σ = 7072652321280. Its totient is φ = 559180578816.

The previous prime is 2121011022287. The next prime is 2121011022341. The reversal of 2121011022312 is 2132201101212.

2121011022312 is a `hidden beast` number, since 212 + 10 + 110 + 22 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18070888 + ... + 18187880.

It is an arithmetic number, because the mean of its divisors is an integer number (36836730840).

Almost surely, 2^{2121011022312} 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 2121011022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536326160640).

2121011022312 is an abundant number, since it is smaller than the sum of its proper divisors (4951641298968).

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

2121011022312 is a wasteful number, since it uses less digits than its factorization.

2121011022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119792 (or 119785 counting only the distinct ones).

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

Adding to 2121011022312 its reverse (2132201101212), we get a palindrome (4253212123524).

The spelling of 2121011022312 in words is "two trillion, one hundred twenty-one billion, eleven million, twenty-two thousand, three hundred twelve".