121738788 has 60 divisors (see below), whose sum is σ = 319383372. Its totient is φ = 40435200.

The previous prime is 121738777. The next prime is 121738823. The reversal of 121738788 is 887837121.

It can be written as a sum of positive squares in 2 ways, for example, as 68856804 + 52881984 = 8298^2 + 7272^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 129456 + ... + 130392.

Almost surely, 2^121738788 is an apocalyptic number.

121738788 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 121738788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159691686).

121738788 is an abundant number, since it is smaller than the sum of its proper divisors (197644584).

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

121738788 is a wasteful number, since it uses less digits than its factorization.

121738788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1343 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The square root of 121738788 is about 11033.5301694426. The cubic root of 121738788 is about 495.6133443868.

The spelling of 121738788 in words is "one hundred twenty-one million, seven hundred thirty-eight thousand, seven hundred eighty-eight".