212419005120 has 896 divisors, whose sum is σ = 891166924800. Its totient is φ = 46603468800.

The previous prime is 212419005077. The next prime is 212419005233. The reversal of 212419005120 is 21500914212.

212419005120 is a `hidden beast` number, since 21 + 2 + 41 + 90 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 492851305 + ... + 492851735.

Almost surely, 2^212419005120 is an apocalyptic number.

212419005120 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 212419005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445583462400).

212419005120 is an abundant number, since it is smaller than the sum of its proper divisors (678747919680).

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

212419005120 is a wasteful number, since it uses less digits than its factorization.

212419005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 212419005120 its reverse (21500914212), we get a palindrome (233919919332).

The spelling of 212419005120 in words is "two hundred twelve billion, four hundred nineteen million, five thousand, one hundred twenty".