11504922121 has 45 divisors (see below), whose sum is σ = 14827185933. Its totient is φ = 8919824760.

The previous prime is 11504922101. The next prime is 11504922133. The reversal of 11504922121 is 12122940511.

The square root of 11504922121 is 107261.

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

It is not a de Polignac number, because 11504922121 - 2¹¹ = 11504920073 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11504922121.

It is not an unprimeable number, because it can be changed into a prime (11504922101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57813580 + ... + 57813778.

Almost surely, 2^11504922121 is an apocalyptic number.

11504922121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11504922121 is the 107261-st square number.

11504922121 is the 53631-st centered octagonal number.

It is an amenable number.

11504922121 is a deficient number, since it is larger than the sum of its proper divisors (3322263812).

11504922121 is an frugal number, since it uses more digits than its factorization.

11504922121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 11504922121 in words is "eleven billion, five hundred four million, nine hundred twenty-two thousand, one hundred twenty-one".