2412142128 has 120 divisors (see below), whose sum is σ = 7394901696. Its totient is φ = 727920000.

The previous prime is 2412142123. The next prime is 2412142133. The reversal of 2412142128 is 8212412142.

2412142128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2412142123) and next prime (2412142133).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2412142123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394551 + ... + 400617.

Almost surely, 2^2412142128 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 2412142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697450848).

2412142128 is an abundant number, since it is smaller than the sum of its proper divisors (4982759568).

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

2412142128 is a wasteful number, since it uses less digits than its factorization.

2412142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6334 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2412142128 is about 49113.5635848184. The cubic root of 2412142128 is about 1341.1199755193.

It can be divided in two parts, 241214 and 2128, that added together give a palindrome (243342).

The spelling of 2412142128 in words is "two billion, four hundred twelve million, one hundred forty-two thousand, one hundred twenty-eight".