212303090635104 has 384 divisors, whose sum is σ = 672474561454080. Its totient is φ = 57335165927424.

The previous prime is 212303090635091. The next prime is 212303090635117. The reversal of 212303090635104 is 401536090303212.

It is an interprime number because it is at equal distance from previous prime (212303090635091) and next prime (212303090635117).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 987886447 + ... + 988101329.

It is an arithmetic number, because the mean of its divisors is an integer number (1751235837120).

Almost surely, 2^{212303090635104} is an apocalyptic number.

212303090635104 is a gapful number since it is divisible by the number (24) 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 212303090635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336237280727040).

212303090635104 is an abundant number, since it is smaller than the sum of its proper divisors (460171470818976).

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

212303090635104 is a wasteful number, since it uses less digits than its factorization.

212303090635104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215682 (or 215674 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 212303090635104 in words is "two hundred twelve trillion, three hundred three billion, ninety million, six hundred thirty-five thousand, one hundred four".