4212121564 has 48 divisors (see below), whose sum is σ = 8483005440. Its totient is φ = 1792653120.

The previous prime is 4212121561. The next prime is 4212121591. The reversal of 4212121564 is 4651212124.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212121561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2951019 + ... + 2952445.

It is an arithmetic number, because the mean of its divisors is an integer number (176729280).

Almost surely, 2^4212121564 is an apocalyptic number.

It is an amenable number.

4212121564 is an abundant number, since it is smaller than the sum of its proper divisors (4270883876).

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

4212121564 is a wasteful number, since it uses less digits than its factorization.

4212121564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2096 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 4212121564 is about 64900.8595012424. The cubic root of 4212121564 is about 1614.9793201543.

Adding to 4212121564 its reverse (4651212124), we get a palindrome (8863333688).

The spelling of 4212121564 in words is "four billion, two hundred twelve million, one hundred twenty-one thousand, five hundred sixty-four".