121377557 has 24 divisors (see below), whose sum is σ = 147094200. Its totient is φ = 99743616.

The previous prime is 121377551. The next prime is 121377593. The reversal of 121377557 is 755773121.

It can be written as a sum of positive squares in 4 ways, for example, as 48804196 + 72573361 = 6986^2 + 8519^2 .

It is not a de Polignac number, because 121377557 - 2¹⁴ = 121361173 is a prime.

It is a super-2 number, since 2×121377557² = 29465022686576498, which contains 22 as substring.

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 121377557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121377551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325223 + ... + 325595.

It is an arithmetic number, because the mean of its divisors is an integer number (6128925).

Almost surely, 2^121377557 is an apocalyptic number.

It is an amenable number.

121377557 is a deficient number, since it is larger than the sum of its proper divisors (25716643).

121377557 is a wasteful number, since it uses less digits than its factorization.

121377557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its digits is 51450, while the sum is 38.

The square root of 121377557 is about 11017.1483152402. The cubic root of 121377557 is about 495.1226536856.

The spelling of 121377557 in words is "one hundred twenty-one million, three hundred seventy-seven thousand, five hundred fifty-seven".