121028688 has 80 divisors (see below), whose sum is σ = 378993600. Its totient is φ = 36673920.

The previous prime is 121028683. The next prime is 121028693. The reversal of 121028688 is 886820121.

121028688 = 402² + 403² + ... + 753².

It is an interprime number because it is at equal distance from previous prime (121028683) and next prime (121028693).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121028683) 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 15 ways as a sum of consecutive naturals, for example, 7983 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (4737420).

Almost surely, 2^121028688 is an apocalyptic number.

121028688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121028688 is an abundant number, since it is smaller than the sum of its proper divisors (257964912).

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

121028688 is a wasteful number, since it uses less digits than its factorization.

121028688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25497 (or 25485 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 121028688 is about 11001.3039227175. The cubic root of 121028688 is about 494.6478303150.

The spelling of 121028688 in words is "one hundred twenty-one million, twenty-eight thousand, six hundred eighty-eight".