212466296700 has 864 divisors, whose sum is σ = 812123020800. Its totient is φ = 47184768000.

The previous prime is 212466296699. The next prime is 212466296747. The reversal of 212466296700 is 7692664212.

212466296700 is a `hidden beast` number, since 2 + 12 + 4 + 6 + 629 + 6 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1425948226 + ... + 1425948374.

It is an arithmetic number, because the mean of its divisors is an integer number (939957200).

Almost surely, 2^212466296700 is an apocalyptic number.

212466296700 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 212466296700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406061510400).

212466296700 is an abundant number, since it is smaller than the sum of its proper divisors (599656724100).

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

212466296700 is a wasteful number, since it uses less digits than its factorization.

212466296700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 212466296700 in words is "two hundred twelve billion, four hundred sixty-six million, two hundred ninety-six thousand, seven hundred".