2130120000000 has 960 divisors, whose sum is σ = 7891066126944. Its totient is φ = 552960000000.

The previous prime is 2130119999999. The next prime is 2130120000091. The reversal of 2130120000000 is 210312.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1757512306944 + 372607693056 = 1325712^2 + 610416^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2130120000000² (a number of 25 digits) contains 22 as substring.

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

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, 21959999952 + ... + 21960000048.

Almost surely, 2^{2130120000000} is an apocalyptic number.

2130120000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945533063472).

2130120000000 is an abundant number, since it is smaller than the sum of its proper divisors (5760946126944).

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

2130120000000 is an frugal number, since it uses more digits than its factorization.

2130120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2130120000000 its reverse (210312), we get a palindrome (2130120210312).

The spelling of 2130120000000 in words is "two trillion, one hundred thirty billion, one hundred twenty million", and thus it is an aban number.