121727424 has 112 divisors (see below), whose sum is σ = 396451328. Its totient is φ = 32099328.

The previous prime is 121727399. The next prime is 121727467. The reversal of 121727424 is 424727121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121727391 and 121727400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13989 + ... + 20955.

It is an arithmetic number, because the mean of its divisors is an integer number (3539744).

Almost surely, 2^121727424 is an apocalyptic number.

121727424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198225664).

121727424 is an abundant number, since it is smaller than the sum of its proper divisors (274723904).

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

121727424 is a wasteful number, since it uses less digits than its factorization.

121727424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6992 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 121727424 is about 11033.0151817171. The cubic root of 121727424 is about 495.5979225003.

The spelling of 121727424 in words is "one hundred twenty-one million, seven hundred twenty-seven thousand, four hundred twenty-four".