2412300032142 has 192 divisors, whose sum is σ = 6703267210752. Its totient is φ = 562741344000.

The previous prime is 2412300032101. The next prime is 2412300032143.

It is a happy number.

2412300032142 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 (2412300032143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1951017 + ... + 2937867.

It is an arithmetic number, because the mean of its divisors is an integer number (34912850056).

Almost surely, 2^{2412300032142} is an apocalyptic number.

2412300032142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412300032142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351633605376).

2412300032142 is an abundant number, since it is smaller than the sum of its proper divisors (4290967178610).

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

2412300032142 is a wasteful number, since it uses less digits than its factorization.

2412300032142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986935 (or 986924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 24123000 and 32142, that added together give a palindrome (24155142).

The spelling of 2412300032142 in words is "two trillion, four hundred twelve billion, three hundred million, thirty-two thousand, one hundred forty-two".