212904747000 has 1024 divisors, whose sum is σ = 877443840000. Its totient is φ = 47174400000.

The previous prime is 212904746993. The next prime is 212904747001. The reversal of 212904747000 is 747409212.

212904747000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212904747001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 163646350 + ... + 163647650.

It is an arithmetic number, because the mean of its divisors is an integer number (856878750).

Almost surely, 2^212904747000 is an apocalyptic number.

212904747000 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 212904747000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920000).

212904747000 is an abundant number, since it is smaller than the sum of its proper divisors (664539093000).

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

212904747000 is a wasteful number, since it uses less digits than its factorization.

212904747000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 212904747000 in words is "two hundred twelve billion, nine hundred four million, seven hundred forty-seven thousand".