120838226624 has 42 divisors (see below), whose sum is σ = 243895679340. Its totient is φ = 59384561152.

The previous prime is 120838226623. The next prime is 120838226633. The reversal of 120838226624 is 426622838021.

It is a super-3 number, since 3×120838226624³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120838226623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21358004 + ... + 21363660.

Almost surely, 2^120838226624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120838226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121947839670).

120838226624 is an abundant number, since it is smaller than the sum of its proper divisors (123057452716).

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

120838226624 is an frugal number, since it uses more digits than its factorization.

120838226624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 120838226624 in words is "one hundred twenty billion, eight hundred thirty-eight million, two hundred twenty-six thousand, six hundred twenty-four".