213002412 has 72 divisors (see below), whose sum is σ = 582220800. Its totient is φ = 60429600.

The previous prime is 213002399. The next prime is 213002417. The reversal of 213002412 is 214200312.

It is a junction number, because it is equal to n+sod(n) for n = 213002391 and 213002400.

It is not an unprimeable number, because it can be changed into a prime (213002417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87589 + ... + 89987.

It is an arithmetic number, because the mean of its divisors is an integer number (8086400).

Almost surely, 2^213002412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213002412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291110400).

213002412 is an abundant number, since it is smaller than the sum of its proper divisors (369218388).

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

213002412 is a wasteful number, since it uses less digits than its factorization.

213002412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213002412 is about 14594.6021528509. The cubic root of 213002412 is about 597.2115162288.

Adding to 213002412 its reverse (214200312), we get a palindrome (427202724).

The spelling of 213002412 in words is "two hundred thirteen million, two thousand, four hundred twelve".