212039493120 has 1600 divisors, whose sum is σ = 991198809216. Its totient is φ = 42042654720.

The previous prime is 212039493077. The next prime is 212039493121. The reversal of 212039493120 is 21394930212.

212039493120 is a `hidden beast` number, since 2 + 12 + 0 + 39 + 493 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212039493121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 320785590 + ... + 320786250.

Almost surely, 2^212039493120 is an apocalyptic number.

212039493120 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 212039493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495599404608).

212039493120 is an abundant number, since it is smaller than the sum of its proper divisors (779159316096).

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

212039493120 is a wasteful number, since it uses less digits than its factorization.

212039493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 212039493120 in words is "two hundred twelve billion, thirty-nine million, four hundred ninety-three thousand, one hundred twenty".