121148928 has 120 divisors (see below), whose sum is σ = 356200416. Its totient is φ = 39628800.

The previous prime is 121148927. The next prime is 121148941. The reversal of 121148928 is 829841121.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 121148892 and 121148901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121148927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280873 + ... + 281303.

Almost surely, 2^121148928 is an apocalyptic number.

121148928 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 121148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178100208).

121148928 is an abundant number, since it is smaller than the sum of its proper divisors (235051488).

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

121148928 is an equidigital number, since it uses as much as digits as its factorization.

121148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 121148928 is about 11006.7673728484. The cubic root of 121148928 is about 494.8115842444.

The spelling of 121148928 in words is "one hundred twenty-one million, one hundred forty-eight thousand, nine hundred twenty-eight".