120226209408 has 384 divisors, whose sum is σ = 384943104000. Its totient is φ = 35843917824.

The previous prime is 120226209391. The next prime is 120226209413. The reversal of 120226209408 is 804902622021.

120226209408 is a `hidden beast` number, since 1 + 2 + 0 + 22 + 620 + 9 + 4 + 0 + 8 = 666.

120226209408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39768985 + ... + 39772007.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456000).

Almost surely, 2^120226209408 is an apocalyptic number.

120226209408 is a gapful number since it is divisible by the number (18) 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 120226209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552000).

120226209408 is an abundant number, since it is smaller than the sum of its proper divisors (264716894592).

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

120226209408 is a wasteful number, since it uses less digits than its factorization.

120226209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 120226209408 in words is "one hundred twenty billion, two hundred twenty-six million, two hundred nine thousand, four hundred eight".