212988134700 has 216 divisors, whose sum is σ = 728604991296. Its totient is φ = 51611184000.

The previous prime is 212988134677. The next prime is 212988134741. The reversal of 212988134700 is 7431889212.

It is a happy number.

212988134700 is a `hidden beast` number, since 2 + 12 + 98 + 81 + 3 + 470 + 0 = 666.

212988134700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43191235 + ... + 43196165.

It is an arithmetic number, because the mean of its divisors is an integer number (3373171256).

Almost surely, 2^212988134700 is an apocalyptic number.

212988134700 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 212988134700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364302495648).

212988134700 is an abundant number, since it is smaller than the sum of its proper divisors (515616856596).

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

212988134700 is a wasteful number, since it uses less digits than its factorization.

212988134700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 212988134700 in words is "two hundred twelve billion, nine hundred eighty-eight million, one hundred thirty-four thousand, seven hundred".