121432037841 has 45 divisors (see below), whose sum is σ = 187588991403. Its totient is φ = 78280525440.

The previous prime is 121432037809. The next prime is 121432037893. The reversal of 121432037841 is 148730234121.

The square root of 121432037841 is 348471.

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

121432037841 is a `hidden beast` number, since 1 + 214 + 32 + 0 + 378 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49693772241 + 71738265600 = 222921^2 + 267840^2 .

It is not a de Polignac number, because 121432037841 - 2⁵ = 121432037809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121432037796 and 121432037805.

It is not an unprimeable number, because it can be changed into a prime (121432237841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97222785 + ... + 97224033.

Almost surely, 2^121432037841 is an apocalyptic number.

121432037841 is the 348471-st square number.

121432037841 is the 174236-th centered octagonal number.

It is an amenable number.

121432037841 is a deficient number, since it is larger than the sum of its proper divisors (66156953562).

121432037841 is an frugal number, since it uses more digits than its factorization.

121432037841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 121432037841 by its sum of digits (36), we get a square (4371553362276 = 2090826²).

It can be divided in two parts, 1214320 and 37841, that added together give a square (1252161 = 1119²).

The spelling of 121432037841 in words is "one hundred twenty-one billion, four hundred thirty-two million, thirty-seven thousand, eight hundred forty-one".