212612534277120 has 704 divisors, whose sum is σ = 834817074762240. Its totient is φ = 51041495678976.

The previous prime is 212612534277113. The next prime is 212612534277151. The reversal of 212612534277120 is 21772435216212.

212612534277120 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 1 + 2 + 534 + 27 + 71 + 20 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 52085094 + ... + 56018586.

Almost surely, 2^{212612534277120} is an apocalyptic number.

212612534277120 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 212612534277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417408537381120).

212612534277120 is an abundant number, since it is smaller than the sum of its proper divisors (622204540485120).

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

212612534277120 is a wasteful number, since it uses less digits than its factorization.

212612534277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933567 (or 3933543 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 212612534277120 in words is "two hundred twelve trillion, six hundred twelve billion, five hundred thirty-four million, two hundred seventy-seven thousand, one hundred twenty".