119016720144 has 375 divisors, whose sum is σ = 411839533347. Its totient is φ = 33085729152.

The previous prime is 119016720139. The next prime is 119016720203. The reversal of 119016720144 is 441027610911.

The square root of 119016720144 is 344988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 74208297744 + 44808422400 = 272412^2 + 211680^2 .

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 = 119016720099 and 119016720108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3216668094 + ... + 3216668130.

Almost surely, 2^119016720144 is an apocalyptic number.

119016720144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

119016720144 is the 344988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119016720144

119016720144 is an abundant number, since it is smaller than the sum of its proper divisors (292822813203).

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

119016720144 is an frugal number, since it uses more digits than its factorization.

119016720144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 49 counting only the distinct ones).

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

Multiplying 119016720144 by its sum of digits (36), we get a square (4284601925184 = 2069928²).

119016720144 divided by its sum of digits (36) gives a square (3306020004 = 57498²).

It can be divided in two parts, 119016 and 720144, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 119016720144 in words is "one hundred nineteen billion, sixteen million, seven hundred twenty thousand, one hundred forty-four".