121851648 has 216 divisors, whose sum is σ = 389054960. Its totient is φ = 37601280.

The previous prime is 121851643. The next prime is 121851659. The reversal of 121851648 is 846158121.

121851648 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 5 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

Its product of digits (15360) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121851641) 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 23 ways as a sum of consecutive naturals, for example, 1997538 + ... + 1997598.

Almost surely, 2^121851648 is an apocalyptic number.

121851648 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 121851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194527480).

121851648 is an abundant number, since it is smaller than the sum of its proper divisors (267203312).

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

121851648 is an equidigital number, since it uses as much as digits as its factorization.

121851648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 121851648 is about 11038.6433949104. The cubic root of 121851648 is about 495.7664526572.

The spelling of 121851648 in words is "one hundred twenty-one million, eight hundred fifty-one thousand, six hundred forty-eight".