121577472 has 168 divisors, whose sum is σ = 375694956. Its totient is φ = 37748736.

The previous prime is 121577461. The next prime is 121577473. The reversal of 121577472 is 274775121.

121577472 is a `hidden beast` number, since 12 + 1 + 577 + 4 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 1806336 = 10944^2 + 1344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121577473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253328 + ... + 1253424.

Almost surely, 2^121577472 is an apocalyptic number.

121577472 is a gapful number since it is divisible by the number (12) 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 121577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187847478).

121577472 is an abundant number, since it is smaller than the sum of its proper divisors (254117484).

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

121577472 is an equidigital number, since it uses as much as digits as its factorization.

121577472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 121577472 is about 11026.2174837974. The cubic root of 121577472 is about 495.3943353001.

It can be divided in two parts, 1215 and 77472, that added together give a palindrome (78687).

The spelling of 121577472 in words is "one hundred twenty-one million, five hundred seventy-seven thousand, four hundred seventy-two".