11453222516121 has 99 divisors (see below), whose sum is σ = 18156292559199. Its totient is φ = 7223745715632.

The previous prime is 11453222516101. The next prime is 11453222516123. The reversal of 11453222516121 is 12161522235411.

The square root of 11453222516121 is 3384261.

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

11453222516121 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 32 + 2 + 2 + 5 + 1 + 612 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11204584655625 + 248637860496 = 3347325^2 + 498636^2 .

It is not a de Polignac number, because 11453222516121 - 2⁵ = 11453222516089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11453222516123) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 15625132671 + ... + 15625133403.

Almost surely, 2^{11453222516121} is an apocalyptic number.

11453222516121 is the 3384261-st square number.

11453222516121 is the 1692131-st centered octagonal number.

It is an amenable number.

11453222516121 is a deficient number, since it is larger than the sum of its proper divisors (6703070043078).

11453222516121 is an frugal number, since it uses more digits than its factorization.

11453222516121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 755 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Multiplying 11453222516121 by its sum of digits (36), we get a square (412316010580356 = 20305566²).

The spelling of 11453222516121 in words is "eleven trillion, four hundred fifty-three billion, two hundred twenty-two million, five hundred sixteen thousand, one hundred twenty-one".