212372583921 has 27 divisors (see below), whose sum is σ = 317763089761. Its totient is φ = 136673787264.

The previous prime is 212372583901. The next prime is 212372583931. The reversal of 212372583921 is 129385273212.

The square root of 212372583921 is 460839.

It is a perfect power (a square), and thus also a powerful number.

212372583921 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 7 + 258 + 392 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27269568225 + 185103015696 = 165135^2 + 430236^2 .

It is not a de Polignac number, because 212372583921 - 2¹¹ = 212372581873 is a prime.

It is a super-2 number, since 2×212372583921² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212372583901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40090345 + ... + 40095641.

Almost surely, 2^212372583921 is an apocalyptic number.

212372583921 is the 460839-th square number.

212372583921 is the 230420-th centered octagonal number.

It is an amenable number.

212372583921 is a deficient number, since it is larger than the sum of its proper divisors (105390505840).

212372583921 is an frugal number, since it uses more digits than its factorization.

212372583921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 5329 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 212372583921 in words is "two hundred twelve billion, three hundred seventy-two million, five hundred eighty-three thousand, nine hundred twenty-one".