1212225222121 has 9 divisors (see below), whose sum is σ = 1230663069111. Its totient is φ = 1194059641632.

The previous prime is 1212225222107. The next prime is 1212225222203.

The square root of 1212225222121 is 1101011.

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

1212225222121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1197809858025 + 14415364096 = 1094445^2 + 120064^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1212225222121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1212225220121) 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, 73759521 + ... + 73775953.

Almost surely, 2^{1212225222121} is an apocalyptic number.

1212225222121 is the 1101011-st square number.

1212225222121 is the 550506-th centered octagonal number.

It is an amenable number.

1212225222121 is a deficient number, since it is larger than the sum of its proper divisors (18437846990).

1212225222121 is an frugal number, since it uses more digits than its factorization.

1212225222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33000 (or 16500 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

Multiplying 1212225222121 by its sum of digits (25), we get a square (30305630553025 = 5505055²).

The spelling of 1212225222121 in words is "one trillion, two hundred twelve billion, two hundred twenty-five million, two hundred twenty-two thousand, one hundred twenty-one".