212300699121 has 81 divisors (see below), whose sum is σ = 367243972641. Its totient is φ = 117836861184.

The previous prime is 212300699113. The next prime is 212300699147. The reversal of 212300699121 is 121996003212.

The square root of 212300699121 is 460761.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62020423521 + 150280275600 = 249039^2 + 387660^2 .

It is not a de Polignac number, because 212300699121 - 2³ = 212300699113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212300699111) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 358011001 + ... + 358011593.

Almost surely, 2^212300699121 is an apocalyptic number.

212300699121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212300699121 is the 460761-st square number.

212300699121 is the 230381-st centered octagonal number.

It is an amenable number.

212300699121 is a deficient number, since it is larger than the sum of its proper divisors (154943273520).

212300699121 is an frugal number, since it uses more digits than its factorization.

212300699121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 212300699121 by its sum of digits (36), we get a square (7642825168356 = 2764566²).

The spelling of 212300699121 in words is "two hundred twelve billion, three hundred million, six hundred ninety-nine thousand, one hundred twenty-one".