121961472 has 132 divisors (see below), whose sum is σ = 345615480. Its totient is φ = 38191104.

The previous prime is 121961467. The next prime is 121961473. The reversal of 121961472 is 274169121.

It is a happy number.

Its product of digits (6048) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121961473) 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, 3296238 + ... + 3296274.

Almost surely, 2^121961472 is an apocalyptic number.

121961472 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 121961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172807740).

121961472 is an abundant number, since it is smaller than the sum of its proper divisors (223654008).

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

121961472 is an equidigital number, since it uses as much as digits as its factorization.

121961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 121961472 is about 11043.6167988572. The cubic root of 121961472 is about 495.9153514928.

The spelling of 121961472 in words is "one hundred twenty-one million, nine hundred sixty-one thousand, four hundred seventy-two".