121069728 has 120 divisors (see below), whose sum is σ = 383558868. Its totient is φ = 37241856.

The previous prime is 121069727. The next prime is 121069757. The reversal of 121069728 is 827960121.

It can be written as a sum of positive squares in 2 ways, for example, as 111260304 + 9809424 = 10548^2 + 3132^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 121069692 and 121069701.

It is not an unprimeable number, because it can be changed into a prime (121069721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31900 + ... + 35492.

Almost surely, 2^121069728 is an apocalyptic number.

121069728 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 121069728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191779434).

121069728 is an abundant number, since it is smaller than the sum of its proper divisors (262489140).

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

121069728 is a wasteful number, since it uses less digits than its factorization.

121069728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 121069728 is about 11003.1689980660. The cubic root of 121069728 is about 494.7037345615.

The spelling of 121069728 in words is "one hundred twenty-one million, sixty-nine thousand, seven hundred twenty-eight".