212828119040 has 448 divisors, whose sum is σ = 574293089664. Its totient is φ = 75296145408.

The previous prime is 212828118991. The next prime is 212828119051. The reversal of 212828119040 is 40911828212.

212828119040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212828118985 and 212828119003.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1553489852 + ... + 1553489988.

It is an arithmetic number, because the mean of its divisors is an integer number (1281904218).

Almost surely, 2^212828119040 is an apocalyptic number.

212828119040 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 212828119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287146544832).

212828119040 is an abundant number, since it is smaller than the sum of its proper divisors (361464970624).

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

212828119040 is a wasteful number, since it uses less digits than its factorization.

212828119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 212828119040 in words is "two hundred twelve billion, eight hundred twenty-eight million, one hundred nineteen thousand, forty".