120022454880 has 144 divisors (see below), whose sum is σ = 411656669424. Its totient is φ = 31843445760.

The previous prime is 120022454857. The next prime is 120022454977. The reversal of 120022454880 is 88454220021.

120022454880 is a `hidden beast` number, since 12 + 0 + 0 + 2 + 24 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×120022454880³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 72135 + ... + 495225.

It is an arithmetic number, because the mean of its divisors is an integer number (2858726871).

Almost surely, 2^120022454880 is an apocalyptic number.

120022454880 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 120022454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205828334712).

120022454880 is an abundant number, since it is smaller than the sum of its proper divisors (291634214544).

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

120022454880 is a wasteful number, since it uses less digits than its factorization.

120022454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423309 (or 423298 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 120022454880 in words is "one hundred twenty billion, twenty-two million, four hundred fifty-four thousand, eight hundred eighty".