212142402024 has 64 divisors (see below), whose sum is σ = 618490992000. Its totient is φ = 60612112512.

The previous prime is 212142401993. The next prime is 212142402029. The reversal of 212142402024 is 420204241212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 212142401985 and 212142402003.

It is not an unprimeable number, because it can be changed into a prime (212142402029) 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 15 ways as a sum of consecutive naturals, for example, 12876997 + ... + 12893460.

It is an arithmetic number, because the mean of its divisors is an integer number (9663921750).

Almost surely, 2^212142402024 is an apocalyptic number.

212142402024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212142402024 is an abundant number, since it is smaller than the sum of its proper divisors (406348589976).

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

212142402024 is a wasteful number, since it uses less digits than its factorization.

212142402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25770487 (or 25770469 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212142402024 its reverse (420204241212), we get a palindrome (632346643236).

The spelling of 212142402024 in words is "two hundred twelve billion, one hundred forty-two million, four hundred two thousand, twenty-four".