202121213312 has 128 divisors (see below), whose sum is σ = 433433332800. Its totient is φ = 93543137280.

The previous prime is 202121213279. The next prime is 202121213317. The reversal of 202121213312 is 213312121202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121213317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61790237 + ... + 61793507.

Almost surely, 2^202121213312 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 202121213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216716666400).

202121213312 is an abundant number, since it is smaller than the sum of its proper divisors (231312119488).

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

202121213312 is a wasteful number, since it uses less digits than its factorization.

202121213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 202121213312 its reverse (213312121202), we get a palindrome (415433334514).

The spelling of 202121213312 in words is "two hundred two billion, one hundred twenty-one million, two hundred thirteen thousand, three hundred twelve".