141112080 has 120 divisors (see below), whose sum is σ = 486801432. Its totient is φ = 36605952.

The previous prime is 141112079. The next prime is 141112099. The reversal of 141112080 is 80211141.

It can be written as a sum of positive squares in 4 ways, for example, as 61402896 + 79709184 = 7836^2 + 8928^2 .

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

It is a super-3 number, since 3×141112080³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23992 + ... + 29288.

Almost surely, 2^141112080 is an apocalyptic number.

141112080 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 141112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243400716).

141112080 is an abundant number, since it is smaller than the sum of its proper divisors (345689352).

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

141112080 is a wasteful number, since it uses less digits than its factorization.

141112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 141112080 is about 11879.0605689171. The cubic root of 141112080 is about 520.6206592960.

The spelling of 141112080 in words is "one hundred forty-one million, one hundred twelve thousand, eighty".