2120122210212 has 288 divisors, whose sum is σ = 5699574526464. Its totient is φ = 663645312000.

The previous prime is 2120122210187. The next prime is 2120122210223.

It is a happy number.

2120122210212 is a `hidden beast` number, since 2 + 120 + 122 + 210 + 212 = 666.

2120122210212 is nontrivially palindromic in base 10.

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 95 ways as a sum of consecutive naturals, for example, 2092913818 + ... + 2092914830.

It is an arithmetic number, because the mean of its divisors is an integer number (19790189328).

Almost surely, 2^{2120122210212} 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 2120122210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849787263232).

2120122210212 is an abundant number, since it is smaller than the sum of its proper divisors (3579452316252).

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

2120122210212 is a wasteful number, since it uses less digits than its factorization.

2120122210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 2120122210212 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, two hundred ten thousand, two hundred twelve".