121772993 has 8 divisors (see below), whose sum is σ = 124897416. Its totient is φ = 118656000.

The previous prime is 121772977. The next prime is 121773013. The reversal of 121772993 is 399277121.

It can be written as a sum of positive squares in 4 ways, for example, as 2155024 + 119617969 = 1468^2 + 10937^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121772993 - 2⁴ = 121772977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121772993.

It is not an unprimeable number, because it can be changed into a prime (121775993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48005 + ... + 50477.

It is an arithmetic number, because the mean of its divisors is an integer number (15612177).

Almost surely, 2^121772993 is an apocalyptic number.

It is an amenable number.

121772993 is a deficient number, since it is larger than the sum of its proper divisors (3124423).

121772993 is a wasteful number, since it uses less digits than its factorization.

121772993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715.

The product of its digits is 47628, while the sum is 41.

The square root of 121772993 is about 11035.0801084541. The cubic root of 121772993 is about 495.6597576055.

The spelling of 121772993 in words is "one hundred twenty-one million, seven hundred seventy-two thousand, nine hundred ninety-three".