121447456 has 72 divisors (see below), whose sum is σ = 274344084. Its totient is φ = 52715520.

The previous prime is 121447451. The next prime is 121447457. The reversal of 121447456 is 654744121.

121447456 = T₆₈ + T₆₉ + ... + T₈₉₉.

It can be written as a sum of positive squares in 6 ways, for example, as 62157456 + 59290000 = 7884^2 + 7700^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (121447451) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 91276 + ... + 92596.

Almost surely, 2^121447456 is an apocalyptic number.

121447456 is a gapful number since it is divisible by the number (16) 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 121447456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137172042).

121447456 is an abundant number, since it is smaller than the sum of its proper divisors (152896628).

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

121447456 is a wasteful number, since it uses less digits than its factorization.

121447456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1353 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 121447456 is about 11020.3201405404. The cubic root of 121447456 is about 495.2176793171.

It can be divided in two parts, 12144 and 7456, that added together give a square (19600 = 140²).

The spelling of 121447456 in words is "one hundred twenty-one million, four hundred forty-seven thousand, four hundred fifty-six".