119946380083200 has 4032 divisors, whose sum is σ = 529194899559600. Its totient is φ = 26658865152000.

The previous prime is 119946380083199. The next prime is 119946380083207. The reversal of 119946380083200 is 2380083649911.

119946380083200 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 463 + 80 + 0 + 83 + 20 + 0 = 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 (119946380083207) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3869238067185 + ... + 3869238067215.

Almost surely, 2^{119946380083200} is an apocalyptic number.

119946380083200 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 119946380083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264597449779800).

119946380083200 is an abundant number, since it is smaller than the sum of its proper divisors (409248519476400).

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

119946380083200 is an frugal number, since it uses more digits than its factorization.

119946380083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 119946380083200 in words is "one hundred nineteen trillion, nine hundred forty-six billion, three hundred eighty million, eighty-three thousand, two hundred".