121947120 has 320 divisors, whose sum is σ = 461220480. Its totient is φ = 29859840.

The previous prime is 121947109. The next prime is 121947131. The reversal of 121947120 is 21749121.

It is an interprime number because it is at equal distance from previous prime (121947109) and next prime (121947131).

It is a super-2 number, since 2×121947120² = 29742200152588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2974300 + ... + 2974340.

It is an arithmetic number, because the mean of its divisors is an integer number (1441314).

Almost surely, 2^121947120 is an apocalyptic number.

121947120 is a gapful number since it is divisible by the number (10) 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 121947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230610240).

121947120 is an abundant number, since it is smaller than the sum of its proper divisors (339273360).

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

121947120 is an equidigital number, since it uses as much as digits as its factorization.

121947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 121947120 is about 11042.9669926157. The cubic root of 121947120 is about 495.8958982009.

The spelling of 121947120 in words is "one hundred twenty-one million, nine hundred forty-seven thousand, one hundred twenty".