212379039119520 has 1440 divisors, whose sum is σ = 944212564310400. Its totient is φ = 44559000170496.

The previous prime is 212379039119519. The next prime is 212379039119539. The reversal of 212379039119520 is 25911930973212.

212379039119520 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 79 + 0 + 39 + 1 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 239 ways as a sum of consecutive naturals, for example, 1477666221 + ... + 1477809939.

It is an arithmetic number, because the mean of its divisors is an integer number (655703169660).

Almost surely, 2^{212379039119520} is an apocalyptic number.

212379039119520 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 212379039119520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472106282155200).

212379039119520 is an abundant number, since it is smaller than the sum of its proper divisors (731833525190880).

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

212379039119520 is a wasteful number, since it uses less digits than its factorization.

212379039119520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143952 (or 143928 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 212379039119520 in words is "two hundred twelve trillion, three hundred seventy-nine billion, thirty-nine million, one hundred nineteen thousand, five hundred twenty".