119481141225600 has 4608 divisors, whose sum is σ = 586399228047360. Its totient is φ = 23285499494400.

The previous prime is 119481141225533. The next prime is 119481141225601. The reversal of 119481141225600 is 6522141184911.

119481141225600 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 8 + 1 + 1 + 4 + 12 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (119481141225601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 72987867982 + ... + 72987869618.

It is an arithmetic number, because the mean of its divisors is an integer number (127256776920).

Almost surely, 2^{119481141225600} is an apocalyptic number.

119481141225600 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 119481141225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293199614023680).

119481141225600 is an abundant number, since it is smaller than the sum of its proper divisors (466918086821760).

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

119481141225600 is a wasteful number, since it uses less digits than its factorization.

119481141225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 119481141225600 in words is "one hundred nineteen trillion, four hundred eighty-one billion, one hundred forty-one million, two hundred twenty-five thousand, six hundred".