212631581159200 has 288 divisors, whose sum is σ = 612927748113408. Its totient is φ = 70487345664000.

The previous prime is 212631581159191. The next prime is 212631581159237. The reversal of 212631581159200 is 2951185136212.

It is a super-2 number, since 2×212631581159200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193362930 + ... + 194459470.

It is an arithmetic number, because the mean of its divisors is an integer number (2128221347616).

Almost surely, 2^{212631581159200} is an apocalyptic number.

212631581159200 is a gapful number since it is divisible by the number (20) 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 212631581159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306463874056704).

212631581159200 is an abundant number, since it is smaller than the sum of its proper divisors (400296166954208).

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

212631581159200 is a wasteful number, since it uses less digits than its factorization.

212631581159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097716 (or 1097703 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 212631581159200 in words is "two hundred twelve trillion, six hundred thirty-one billion, five hundred eighty-one million, one hundred fifty-nine thousand, two hundred".