3993047024121 has 15 divisors (see below), whose sum is σ = 5964948963391. Its totient is φ = 2662019359848.

The previous prime is 3993047024107. The next prime is 3993047024149. The reversal of 3993047024121 is 1214207403993.

The square root of 3993047024121 is 1998261.

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

3993047024121 is a `hidden beast` number, since 3 + 9 + 9 + 30 + 470 + 24 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159831244521 + 3833215779600 = 399789^2 + 1957860^2 .

It is not a de Polignac number, because 3993047024121 - 2¹¹ = 3993047022073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3993047024171) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17873335 + ... + 18095363.

Almost surely, 2^{3993047024121} is an apocalyptic number.

3993047024121 is the 1998261-st square number.

3993047024121 is the 999131-st centered octagonal number.

It is an amenable number.

3993047024121 is a deficient number, since it is larger than the sum of its proper divisors (1971901939270).

3993047024121 is an frugal number, since it uses more digits than its factorization.

3993047024121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444070 (or 222032 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3993047024121 in words is "three trillion, nine hundred ninety-three billion, forty-seven million, twenty-four thousand, one hundred twenty-one".