120436480400320 has 224 divisors, whose sum is σ = 333028303216128. Its totient is φ = 40630090862592.

The previous prime is 120436480400293. The next prime is 120436480400339. The reversal of 120436480400320 is 23004084634021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×120436480400320² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120436480400320.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 132066234 + ... + 132975046.

Almost surely, 2^{120436480400320} is an apocalyptic number.

120436480400320 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 120436480400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166514151608064).

120436480400320 is an abundant number, since it is smaller than the sum of its proper divisors (212591822815808).

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

120436480400320 is an equidigital number, since it uses as much as digits as its factorization.

120436480400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909787 (or 909777 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 120436480400320 in words is "one hundred twenty trillion, four hundred thirty-six billion, four hundred eighty million, four hundred thousand, three hundred twenty".