212234064954912 has 6144 divisors, whose sum is σ = 927040536576000. Its totient is φ = 45497557647360.

The previous prime is 212234064954871. The next prime is 212234064954973. The reversal of 212234064954912 is 219459460432212.

212234064954912 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 4 + 0 + 64 + 95 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2686507151289 + ... + 2686507151367.

It is an arithmetic number, because the mean of its divisors is an integer number (150885504000).

Almost surely, 2^{212234064954912} is an apocalyptic number.

212234064954912 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 212234064954912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463520268288000).

212234064954912 is an abundant number, since it is smaller than the sum of its proper divisors (714806471621088).

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

212234064954912 is a wasteful number, since it uses less digits than its factorization.

212234064954912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 212234064954912 in words is "two hundred twelve trillion, two hundred thirty-four billion, sixty-four million, nine hundred fifty-four thousand, nine hundred twelve".