121068864 has 112 divisors (see below), whose sum is σ = 406806400. Its totient is φ = 34587648.

The previous prime is 121068853. The next prime is 121068889. The reversal of 121068864 is 468860121.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7092 + ... + 17100.

It is an arithmetic number, because the mean of its divisors is an integer number (3632200).

Almost surely, 2^121068864 is an apocalyptic number.

121068864 is a gapful number since it is divisible by the number (14) 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 121068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203403200).

121068864 is an abundant number, since it is smaller than the sum of its proper divisors (285737536).

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

121068864 is a wasteful number, since it uses less digits than its factorization.

121068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 121068864 is about 11003.1297365795. The cubic root of 121068864 is about 494.7025577602.

The spelling of 121068864 in words is "one hundred twenty-one million, sixty-eight thousand, eight hundred sixty-four".