121577616 has 30 divisors (see below), whose sum is σ = 340248870. Its totient is φ = 40525824.

The previous prime is 121577611. The next prime is 121577663. The reversal of 121577616 is 616775121.

121577616 is a `hidden beast` number, since 1 + 21 + 577 + 61 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115347600 + 6230016 = 10740^2 + 2496^2 .

It is a super-2 number, since 2×121577616² = 29562233424486912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121577611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 422001 + ... + 422288.

It is an arithmetic number, because the mean of its divisors is an integer number (11341629).

Almost surely, 2^121577616 is an apocalyptic number.

121577616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121577616 is an abundant number, since it is smaller than the sum of its proper divisors (218671254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121577616 is a wasteful number, since it uses less digits than its factorization.

121577616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844303 (or 844294 counting only the distinct ones).

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

The square root of 121577616 is about 11026.2240136866. The cubic root of 121577616 is about 495.3945308866.

The spelling of 121577616 in words is "one hundred twenty-one million, five hundred seventy-seven thousand, six hundred sixteen".