2121012120000 has 560 divisors, whose sum is σ = 7138607414400. Its totient is φ = 555532800000.

The previous prime is 2121012119981. The next prime is 2121012120067. The reversal of 2121012120000 is 212101212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1684679371 + ... + 1684680629.

It is an arithmetic number, because the mean of its divisors is an integer number (12747513240).

Almost surely, 2^{2121012120000} is an apocalyptic number.

2121012120000 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 2121012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569303707200).

2121012120000 is an abundant number, since it is smaller than the sum of its proper divisors (5017595294400).

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

2121012120000 is a wasteful number, since it uses less digits than its factorization.

2121012120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2121012120000 its reverse (212101212), we get a palindrome (2121224221212).

2121012120000 divided by its reverse (212101212) gives a 4-th power (10000 = 10⁴).

The spelling of 2121012120000 in words is "two trillion, one hundred twenty-one billion, twelve million, one hundred twenty thousand".