119130095665152 has 1680 divisors, whose sum is σ = 441874350731520. Its totient is φ = 31560656486400.

The previous prime is 119130095665151. The next prime is 119130095665183. The reversal of 119130095665152 is 251566590031911.

It is a happy number.

119130095665152 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 30 + 0 + 95 + 6 + 6 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (119130095665151) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32451672277 + ... + 32451675947.

It is an arithmetic number, because the mean of its divisors is an integer number (263020446864).

Almost surely, 2^{119130095665152} is an apocalyptic number.

119130095665152 is a gapful number since it is divisible by the number (12) 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 119130095665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220937175365760).

119130095665152 is an abundant number, since it is smaller than the sum of its proper divisors (322744255066368).

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

119130095665152 is an equidigital number, since it uses as much as digits as its factorization.

119130095665152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 119130095665152 in words is "one hundred nineteen trillion, one hundred thirty billion, ninety-five million, six hundred sixty-five thousand, one hundred fifty-two".