2120012000010 has 192 divisors, whose sum is σ = 5591569636224. Its totient is φ = 557250969600.

The previous prime is 2120011999991. The next prime is 2120012000011. The reversal of 2120012000010 is 100002100212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120011999956 and 2120012000001.

It is not an unprimeable number, because it can be changed into a prime (2120012000011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1384722945 + ... + 1384724475.

It is an arithmetic number, because the mean of its divisors is an integer number (29122758522).

Almost surely, 2^{2120012000010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120012000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795784818112).

2120012000010 is an abundant number, since it is smaller than the sum of its proper divisors (3471557636214).

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

2120012000010 is a wasteful number, since it uses less digits than its factorization.

2120012000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2120012000010 its reverse (100002100212), we get a palindrome (2220014100222).

The spelling of 2120012000010 in words is "two trillion, one hundred twenty billion, twelve million, ten", and thus it is an aban number.