213224677512 has 256 divisors, whose sum is σ = 709436620800. Its totient is φ = 51728544000.

The previous prime is 213224677499. The next prime is 213224677543. The reversal of 213224677512 is 215776422312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2450187 + ... + 2535717.

It is an arithmetic number, because the mean of its divisors is an integer number (2771236800).

Almost surely, 2^213224677512 is an apocalyptic number.

213224677512 is a gapful number since it is divisible by the number (22) 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 213224677512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354718310400).

213224677512 is an abundant number, since it is smaller than the sum of its proper divisors (496211943288).

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

213224677512 is a wasteful number, since it uses less digits than its factorization.

213224677512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85648 (or 85644 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The spelling of 213224677512 in words is "two hundred thirteen billion, two hundred twenty-four million, six hundred seventy-seven thousand, five hundred twelve".