212549018992128 has 2160 divisors, whose sum is σ = 814805647958016. Its totient is φ = 53080483921920.

The previous prime is 212549018992117. The next prime is 212549018992129. The reversal of 212549018992128 is 821299810945212.

212549018992128 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 490 + 18 + 9 + 9 + 2 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212549018992129) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55597439625 + ... + 55597443447.

Almost surely, 2^{212549018992128} is an apocalyptic number.

212549018992128 is a gapful number since it is divisible by the number (28) 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 212549018992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407402823979008).

212549018992128 is an abundant number, since it is smaller than the sum of its proper divisors (602256628965888).

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

212549018992128 is a wasteful number, since it uses less digits than its factorization.

212549018992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 212549018992128 in words is "two hundred twelve trillion, five hundred forty-nine billion, eighteen million, nine hundred ninety-two thousand, one hundred twenty-eight".