212129280 has 480 divisors, whose sum is σ = 857945088. Its totient is φ = 49766400.

The previous prime is 212129273. The next prime is 212129297. The reversal of 212129280 is 82921212.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 6842865 + ... + 6842895.

Almost surely, 2^212129280 is an apocalyptic number.

212129280 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 212129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

212129280 is an abundant number, since it is smaller than the sum of its proper divisors (645815808).

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

212129280 is an equidigital number, since it uses as much as digits as its factorization.

212129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

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

The square root of 212129280 is about 14564.6585953808. The cubic root of 212129280 is about 596.3943758604.

The spelling of 212129280 in words is "two hundred twelve million, one hundred twenty-nine thousand, two hundred eighty".