212261996961 has 135 divisors (see below), whose sum is σ = 377787099393. Its totient is φ = 118423211760.

The previous prime is 212261996953. The next prime is 212261996963. The reversal of 212261996961 is 169699162212.

The square root of 212261996961 is 460719.

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

212261996961 is a `hidden beast` number, since 2 + 12 + 2 + 619 + 9 + 6 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 212261996961 - 2³ = 212261996953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212261996898 and 212261996907.

It is not an unprimeable number, because it can be changed into a prime (212261996963) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2060796036 + ... + 2060796138.

Almost surely, 2^212261996961 is an apocalyptic number.

212261996961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212261996961 is the 460719-th square number.

212261996961 is the 230360-th centered octagonal number.

It is an amenable number.

212261996961 is a deficient number, since it is larger than the sum of its proper divisors (165525102432).

212261996961 is an frugal number, since it uses more digits than its factorization.

212261996961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 184 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 212261996961 in words is "two hundred twelve billion, two hundred sixty-one million, nine hundred ninety-six thousand, nine hundred sixty-one".