212829120 has 672 divisors, whose sum is σ = 958583808. Its totient is φ = 43794432.

The previous prime is 212829083. The next prime is 212829121. The reversal of 212829120 is 21928212.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212829121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9253429 + ... + 9253451.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^212829120 is an apocalyptic number.

212829120 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 212829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

212829120 is an abundant number, since it is smaller than the sum of its proper divisors (745754688).

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

212829120 is a wasteful number, since it uses less digits than its factorization.

212829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

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

The square root of 212829120 is about 14588.6640923698. The cubic root of 212829120 is about 597.0495148447.

The spelling of 212829120 in words is "two hundred twelve million, eight hundred twenty-nine thousand, one hundred twenty".