212346527015420 has 192 divisors, whose sum is σ = 527248794648576. Its totient is φ = 70327069344000.

The previous prime is 212346527015407. The next prime is 212346527015431. The reversal of 212346527015420 is 24510725643212.

212346527015420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465437057 + ... + 465893063.

It is an arithmetic number, because the mean of its divisors is an integer number (2746087472128).

Almost surely, 2^{212346527015420} is an apocalyptic number.

212346527015420 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 212346527015420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263624397324288).

212346527015420 is an abundant number, since it is smaller than the sum of its proper divisors (314902267633156).

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

212346527015420 is a wasteful number, since it uses less digits than its factorization.

212346527015420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456920 (or 456918 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 212346527015420 in words is "two hundred twelve trillion, three hundred forty-six billion, five hundred twenty-seven million, fifteen thousand, four hundred twenty".