121053060 has 72 divisors (see below), whose sum is σ = 374151960. Its totient is φ = 31669248.

The previous prime is 121053017. The next prime is 121053061. The reversal of 121053060 is 60350121.

It can be written as a sum of positive squares in 4 ways, for example, as 5447556 + 115605504 = 2334^2 + 10752^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121053061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3196 + ... + 15884.

It is an arithmetic number, because the mean of its divisors is an integer number (5196555).

Almost surely, 2^121053060 is an apocalyptic number.

121053060 is a gapful number since it is divisible by the number (10) 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 121053060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187075980).

121053060 is an abundant number, since it is smaller than the sum of its proper divisors (253098900).

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

121053060 is a wasteful number, since it uses less digits than its factorization.

121053060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 121053060 is about 11002.4115538367. The cubic root of 121053060 is about 494.6810311150.

The spelling of 121053060 in words is "one hundred twenty-one million, fifty-three thousand, sixty".