202312121213202 has 192 divisors, whose sum is σ = 547414045903872. Its totient is φ = 48504041942400.

The previous prime is 202312121213131. The next prime is 202312121213227.

202312121213202 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1625888113 + ... + 1626012539.

It is an arithmetic number, because the mean of its divisors is an integer number (2851114822416).

Almost surely, 2^{202312121213202} is an apocalyptic number.

202312121213202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202312121213202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273707022951936).

202312121213202 is an abundant number, since it is smaller than the sum of its proper divisors (345101924690670).

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

202312121213202 is a wasteful number, since it uses less digits than its factorization.

202312121213202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149085 (or 149074 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 202312121213202 in words is "two hundred two trillion, three hundred twelve billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred two".