212796840420 has 384 divisors, whose sum is σ = 702662446080. Its totient is φ = 53356216320.

The previous prime is 212796840413. The next prime is 212796840437. The reversal of 212796840420 is 24048697212.

212796840420 is a `hidden beast` number, since 2 + 127 + 9 + 68 + 40 + 420 = 666.

212796840420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 208419510 + ... + 208420530.

It is an arithmetic number, because the mean of its divisors is an integer number (1829850120).

Almost surely, 2^212796840420 is an apocalyptic number.

212796840420 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 212796840420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351331223040).

212796840420 is an abundant number, since it is smaller than the sum of its proper divisors (489865605660).

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

212796840420 is a wasteful number, since it uses less digits than its factorization.

212796840420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 212796840420 in words is "two hundred twelve billion, seven hundred ninety-six million, eight hundred forty thousand, four hundred twenty".