882211226121 has 9 divisors (see below), whose sum is σ = 1274309174541. Its totient is φ = 588138938892.

The previous prime is 882211226077. The next prime is 882211226129. The reversal of 882211226121 is 121622112288.

It is a happy number.

The square root of 882211226121 is 939261.

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

882211226121 is a `hidden beast` number, since 8 + 8 + 2 + 2 + 11 + 22 + 612 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 882211226121 - 2²⁹ = 881674355209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (882211226129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2661240 + ... + 2974326.

Almost surely, 2^882211226121 is an apocalyptic number.

882211226121 is the 939261-st square number.

882211226121 is the 469631-st centered octagonal number.

It is an amenable number.

882211226121 is a deficient number, since it is larger than the sum of its proper divisors (392097948420).

882211226121 is an frugal number, since it uses more digits than its factorization.

882211226121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626180 (or 313090 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

Multiplying 882211226121 by its sum of digits (36), we get a square (31759604140356 = 5635566²).

The spelling of 882211226121 in words is "eight hundred eighty-two billion, two hundred eleven million, two hundred twenty-six thousand, one hundred twenty-one".