2142120212412 has 48 divisors (see below), whose sum is σ = 5242589829120. Its totient is φ = 679959945792.

The previous prime is 2142120212377. The next prime is 2142120212413.

2142120212412 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142120212413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51304612 + ... + 51346347.

It is an arithmetic number, because the mean of its divisors is an integer number (109220621440).

Almost surely, 2^{2142120212412} is an apocalyptic number.

It is an amenable number.

2142120212412 is an abundant number, since it is smaller than the sum of its proper divisors (3100469616708).

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

2142120212412 is a wasteful number, since it uses less digits than its factorization.

2142120212412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102651050 (or 102651048 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2142120 and 212412, that added together give a palindrome (2354532).

The spelling of 2142120212412 in words is "two trillion, one hundred forty-two billion, one hundred twenty million, two hundred twelve thousand, four hundred twelve".