212465003520 has 792 divisors, whose sum is σ = 869273484912. Its totient is φ = 44129648640.

The previous prime is 212465003479. The next prime is 212465003539. The reversal of 212465003520 is 25300564212.

It is a super-2 number, since 2×212465003520² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91068274 + ... + 91070606.

Almost surely, 2^212465003520 is an apocalyptic number.

212465003520 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 212465003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434636742456).

212465003520 is an abundant number, since it is smaller than the sum of its proper divisors (656808481392).

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

212465003520 is a wasteful number, since it uses less digits than its factorization.

212465003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 212465003520 its reverse (25300564212), we get a palindrome (237765567732).

The spelling of 212465003520 in words is "two hundred twelve billion, four hundred sixty-five million, three thousand, five hundred twenty".