120202548480 has 1440 divisors, whose sum is σ = 541342771200. Its totient is φ = 24831442944.

The previous prime is 120202548467. The next prime is 120202548491. The reversal of 120202548480 is 84845202021.

120202548480 is a `hidden beast` number, since 12 + 0 + 20 + 2 + 548 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×120202548480² (a number of 23 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 317156931 + ... + 317157309.

It is an arithmetic number, because the mean of its divisors is an integer number (375932480).

Almost surely, 2^120202548480 is an apocalyptic number.

120202548480 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 120202548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270671385600).

120202548480 is an abundant number, since it is smaller than the sum of its proper divisors (421140222720).

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

120202548480 is a wasteful number, since it uses less digits than its factorization.

120202548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

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

The spelling of 120202548480 in words is "one hundred twenty billion, two hundred two million, five hundred forty-eight thousand, four hundred eighty".