121110864 has 160 divisors (see below), whose sum is σ = 383784960. Its totient is φ = 32140800.

The previous prime is 121110853. The next prime is 121110889. The reversal of 121110864 is 468011121.

121110864 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389269 + ... + 389579.

It is an arithmetic number, because the mean of its divisors is an integer number (2398656).

Almost surely, 2^121110864 is an apocalyptic number.

121110864 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 121110864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191892480).

121110864 is an abundant number, since it is smaller than the sum of its proper divisors (262674096).

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

121110864 is a wasteful number, since it uses less digits than its factorization.

121110864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 121110864 is about 11005.0381189708. The cubic root of 121110864 is about 494.7597569017.

Adding to 121110864 its reverse (468011121), we get a palindrome (589121985).

The spelling of 121110864 in words is "one hundred twenty-one million, one hundred ten thousand, eight hundred sixty-four".