2120120011212 has 384 divisors, whose sum is σ = 6392984371200. Its totient is φ = 532308381696.

The previous prime is 2120120011169. The next prime is 2120120011249. The reversal of 2120120011212 is 2121100210212.

It is a junction number, because it is equal to n+sod(n) for n = 2120120011191 and 2120120011200.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540982989 + ... + 540986907.

It is an arithmetic number, because the mean of its divisors is an integer number (16648396800).

Almost surely, 2^{2120120011212} 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 2120120011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196492185600).

2120120011212 is an abundant number, since it is smaller than the sum of its proper divisors (4272864359988).

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

2120120011212 is a wasteful number, since it uses less digits than its factorization.

2120120011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2120120011212 its reverse (2121100210212), we get a palindrome (4241220221424).

The spelling of 2120120011212 in words is "two trillion, one hundred twenty billion, one hundred twenty million, eleven thousand, two hundred twelve".