120219449875200 has 2592 divisors, whose sum is σ = 513076632868800. Its totient is φ = 27587625615360.

The previous prime is 120219449875097. The next prime is 120219449875373. The reversal of 120219449875200 is 2578944912021.

120219449875200 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 9 + 4 + 4 + 98 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×120219449875200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37463211196 + ... + 37463214404.

Almost surely, 2^{120219449875200} is an apocalyptic number.

120219449875200 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 120219449875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256538316434400).

120219449875200 is an abundant number, since it is smaller than the sum of its proper divisors (392857182993600).

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

120219449875200 is a wasteful number, since it uses less digits than its factorization.

120219449875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 120219449875200 in words is "one hundred twenty trillion, two hundred nineteen billion, four hundred forty-nine million, eight hundred seventy-five thousand, two hundred".