20707150361121 has 81 divisors (see below), whose sum is σ = 34951555691091. Its totient is φ = 11779197945984.

The previous prime is 20707150361119. The next prime is 20707150361137. The reversal of 20707150361121 is 12116305170702.

The square root of 20707150361121 is 4550511.

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

20707150361121 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 7 + 15 + 0 + 3 + 611 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5583887150625 + 15123263210496 = 2363025^2 + 3888864^2 .

It is not a de Polignac number, because 20707150361121 - 2¹ = 20707150361119 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20707150361101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32203966026 + ... + 32203966668.

Almost surely, 2^{20707150361121} is an apocalyptic number.

20707150361121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20707150361121 is the 4550511-st square number.

20707150361121 is the 2275256-th centered octagonal number.

It is an amenable number.

20707150361121 is a deficient number, since it is larger than the sum of its proper divisors (14244405329970).

20707150361121 is an frugal number, since it uses more digits than its factorization.

20707150361121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 20707150361121 by its sum of digits (36), we get a square (745457413000356 = 27303066²).

The spelling of 20707150361121 in words is "twenty trillion, seven hundred seven billion, one hundred fifty million, three hundred sixty-one thousand, one hundred twenty-one".