212129280000 has 1560 divisors, whose sum is σ = 894170973696. Its totient is φ = 49766400000.

The previous prime is 212129279981. The next prime is 212129280037. The reversal of 212129280000 is 82921212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6842879985 + ... + 6842880015.

Almost surely, 2^212129280000 is an apocalyptic number.

212129280000 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 212129280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447085486848).

212129280000 is an abundant number, since it is smaller than the sum of its proper divisors (682041693696).

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

212129280000 is an frugal number, since it uses more digits than its factorization.

212129280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 212129280000 in words is "two hundred twelve billion, one hundred twenty-nine million, two hundred eighty thousand".