202122132012 has 72 divisors (see below), whose sum is σ = 538152975360. Its totient is φ = 63787379040.

The previous prime is 202122132007. The next prime is 202122132029. The reversal of 202122132012 is 210231221202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989437 + ... + 1176107.

It is an arithmetic number, because the mean of its divisors is an integer number (7474346880).

Almost surely, 2^202122132012 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 202122132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269076487680).

202122132012 is an abundant number, since it is smaller than the sum of its proper divisors (336030843348).

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

202122132012 is a wasteful number, since it uses less digits than its factorization.

202122132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188283 (or 188278 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202122132012 its reverse (210231221202), we get a palindrome (412353353214).

The spelling of 202122132012 in words is "two hundred two billion, one hundred twenty-two million, one hundred thirty-two thousand, twelve".