121240080 has 120 divisors (see below), whose sum is σ = 438518808. Its totient is φ = 29841408.

The previous prime is 121240069. The next prime is 121240081. The reversal of 121240080 is 80042121.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 119771136 = 1212^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (121240081) 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, 2884 + ... + 15836.

Almost surely, 2^121240080 is an apocalyptic number.

121240080 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 121240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219259404).

121240080 is an abundant number, since it is smaller than the sum of its proper divisors (317278728).

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

121240080 is a wasteful number, since it uses less digits than its factorization.

121240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12985 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 121240080 is about 11010.9073195627. The cubic root of 121240080 is about 494.9356512618.

The spelling of 121240080 in words is "one hundred twenty-one million, two hundred forty thousand, eighty".