121442688 has 96 divisors (see below), whose sum is σ = 351655200. Its totient is φ = 40227840.

The previous prime is 121442683. The next prime is 121442743. The reversal of 121442688 is 886244121.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121442683) 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 11 ways as a sum of consecutive naturals, for example, 311998 + ... + 312386.

It is an arithmetic number, because the mean of its divisors is an integer number (3663075).

Almost surely, 2^121442688 is an apocalyptic number.

121442688 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 121442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175827600).

121442688 is an abundant number, since it is smaller than the sum of its proper divisors (230212512).

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

121442688 is a wasteful number, since it uses less digits than its factorization.

121442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 121442688 is about 11020.1038107633. The cubic root of 121442688 is about 495.2111985205.

The spelling of 121442688 in words is "one hundred twenty-one million, four hundred forty-two thousand, six hundred eighty-eight".