4212010000 has 225 divisors, whose sum is σ = 11402243083. Its totient is φ = 1505680000.

The previous prime is 4212009979. The next prime is 4212010031. The reversal of 4212010000 is 102124.

The square root of 4212010000 is 64900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 330221584 + 3881788416 = 18172^2 + 62304^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71389971 + ... + 71390029.

Almost surely, 2^4212010000 is an apocalyptic number.

4212010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4212010000 is the 64900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212010000

4212010000 is an abundant number, since it is smaller than the sum of its proper divisors (7190233083).

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

4212010000 is an equidigital number, since it uses as much as digits as its factorization.

4212010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The cubic root of 4212010000 is about 1614.9650616908.

Multiplying 4212010000 by its product of nonzero digits (16), we get a square (67392160000 = 259600²).

4212010000 divided by its product of nonzero digits (16) gives a square (263250625 = 16225²).

Adding to 4212010000 its reverse (102124), we get a palindrome (4212112124).

The spelling of 4212010000 in words is "four billion, two hundred twelve million, ten thousand".