2142456542412 has 96 divisors (see below), whose sum is σ = 5438626841088. Its totient is φ = 653683497984.

The previous prime is 2142456542399. The next prime is 2142456542417.

2142456542412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2142456542412² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2142456542417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17048713 + ... + 17173919.

It is an arithmetic number, because the mean of its divisors is an integer number (56652362928).

Almost surely, 2^{2142456542412} 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 2142456542412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719313420544).

2142456542412 is an abundant number, since it is smaller than the sum of its proper divisors (3296170298676).

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

2142456542412 is a wasteful number, since it uses less digits than its factorization.

2142456542412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127535 (or 127533 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

The spelling of 2142456542412 in words is "two trillion, one hundred forty-two billion, four hundred fifty-six million, five hundred forty-two thousand, four hundred twelve".