212015081520 has 480 divisors, whose sum is σ = 811134155520. Its totient is φ = 49155778560.

The previous prime is 212015081501. The next prime is 212015081533. The reversal of 212015081520 is 25180510212.

It is a happy number.

212015081520 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 508 + 152 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24571447 + ... + 24580073.

It is an arithmetic number, because the mean of its divisors is an integer number (1689862824).

Almost surely, 2^212015081520 is an apocalyptic number.

212015081520 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 212015081520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405567077760).

212015081520 is an abundant number, since it is smaller than the sum of its proper divisors (599119074000).

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

212015081520 is a wasteful number, since it uses less digits than its factorization.

212015081520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 212015081520 its reverse (25180510212), we get a palindrome (237195591732).

The spelling of 212015081520 in words is "two hundred twelve billion, fifteen million, eighty-one thousand, five hundred twenty".