121954248 has 160 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 36236160.

The previous prime is 121954247. The next prime is 121954267. The reversal of 121954248 is 842459121.

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 (121954247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 260911 + ... + 261377.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2^121954248 is an apocalyptic number.

121954248 is a gapful number since it is divisible by the number (18) 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 121954248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

121954248 is an abundant number, since it is smaller than the sum of its proper divisors (258585912).

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

121954248 is a wasteful number, since it uses less digits than its factorization.

121954248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 121954248 is about 11043.2897272507. The cubic root of 121954248 is about 495.9055599764.

It can be divided in two parts, 12 and 1954248, that multiplied together give a triangular number (23450976 = T₆₈₄₈).

The spelling of 121954248 in words is "one hundred twenty-one million, nine hundred fifty-four thousand, two hundred forty-eight".