121098768 has 80 divisors (see below), whose sum is σ = 358893696. Its totient is φ = 34467840.

The previous prime is 121098727. The next prime is 121098773. The reversal of 121098768 is 867890121.

It is a super-2 number, since 2×121098768² = 29329823222235648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 118098 + ... + 119118.

Almost surely, 2^121098768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121098768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179446848).

121098768 is an abundant number, since it is smaller than the sum of its proper divisors (237794928).

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

121098768 is a wasteful number, since it uses less digits than its factorization.

121098768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 121098768 is about 11004.4885387736. The cubic root of 121098768 is about 494.7432849049.

The spelling of 121098768 in words is "one hundred twenty-one million, ninety-eight thousand, seven hundred sixty-eight".