212142024 has 64 divisors (see below), whose sum is σ = 596433600. Its totient is φ = 69856128.

The previous prime is 212141983. The next prime is 212142061. The reversal of 212142024 is 420241212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212141988 and 212142006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12012 + ... + 23844.

It is an arithmetic number, because the mean of its divisors is an integer number (9319275).

Almost surely, 2^212142024 is an apocalyptic number.

212142024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298216800).

212142024 is an abundant number, since it is smaller than the sum of its proper divisors (384291576).

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

212142024 is a wasteful number, since it uses less digits than its factorization.

212142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11931 (or 11921 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212142024 is about 14565.0960861918. The cubic root of 212142024 is about 596.4063187312.

Adding to 212142024 its reverse (420241212), we get a palindrome (632383236).

The spelling of 212142024 in words is "two hundred twelve million, one hundred forty-two thousand, twenty-four".