212013202192 has 160 divisors (see below), whose sum is σ = 463695321600. Its totient is φ = 93073612800.

The previous prime is 212013202187. The next prime is 212013202201. The reversal of 212013202192 is 291202310212.

212013202192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463923628 + ... + 463924084.

It is an arithmetic number, because the mean of its divisors is an integer number (2898095760).

Almost surely, 2^212013202192 is an apocalyptic number.

212013202192 is a gapful number since it is divisible by the number (22) 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 212013202192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231847660800).

212013202192 is an abundant number, since it is smaller than the sum of its proper divisors (251682119408).

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

212013202192 is a wasteful number, since it uses less digits than its factorization.

212013202192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 212013202192 in words is "two hundred twelve billion, thirteen million, two hundred two thousand, one hundred ninety-two".