29932806121 has 9 divisors (see below), whose sum is σ = 30935070999. Its totient is φ = 28962041400.

The previous prime is 29932806109. The next prime is 29932806133. The reversal of 29932806121 is 12160823992.

29932806121 = T₆₁ + T₆₂ + ... + T₅₆₄₁.

The square root of 29932806121 is 173011.

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

It is an interprime number because it is at equal distance from previous prime (29932806109) and next prime (29932806133).

It can be written as a sum of positive squares in only one way, i.e., 9420837721 + 20511968400 = 97061^2 + 143220^2 .

It is not a de Polignac number, because 29932806121 - 2⁷ = 29932805993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29932806821) 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, 5360551 + ... + 5366131.

It is an arithmetic number, because the mean of its divisors is an integer number (3437230111).

Almost surely, 2^29932806121 is an apocalyptic number.

29932806121 is the 173011-st square number.

29932806121 is the 86506-th centered octagonal number.

It is an amenable number.

29932806121 is a deficient number, since it is larger than the sum of its proper divisors (1002264878).

29932806121 is an frugal number, since it uses more digits than its factorization.

29932806121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 29932806121 in words is "twenty-nine billion, nine hundred thirty-two million, eight hundred six thousand, one hundred twenty-one".