202112040222312 has 256 divisors, whose sum is σ = 575817961363200. Its totient is φ = 58570573824000.

The previous prime is 202112040222299. The next prime is 202112040222329. The reversal of 202112040222312 is 213222040211202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 810824514 + ... + 811073742.

It is an arithmetic number, because the mean of its divisors is an integer number (2249288911575).

Almost surely, 2^{202112040222312} is an apocalyptic number.

202112040222312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112040222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287908980681600).

202112040222312 is an abundant number, since it is smaller than the sum of its proper divisors (373705921140888).

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

202112040222312 is a wasteful number, since it uses less digits than its factorization.

202112040222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250708 (or 250704 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 202112040222312 its reverse (213222040211202), we get a palindrome (415334080433514).

The spelling of 202112040222312 in words is "two hundred two trillion, one hundred twelve billion, forty million, two hundred twenty-two thousand, three hundred twelve".