120802906224 has 1600 divisors, whose sum is σ = 514217088000. Its totient is φ = 26493143040.

The previous prime is 120802906223. The next prime is 120802906241. The reversal of 120802906224 is 422609208021.

120802906224 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 0 + 29 + 0 + 622 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120802906223) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4165617442 + ... + 4165617470.

It is an arithmetic number, because the mean of its divisors is an integer number (321385680).

Almost surely, 2^120802906224 is an apocalyptic number.

120802906224 is a gapful number since it is divisible by the number (14) 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 120802906224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257108544000).

120802906224 is an abundant number, since it is smaller than the sum of its proper divisors (393414181776).

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

120802906224 is a wasteful number, since it uses less digits than its factorization.

120802906224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

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

The spelling of 120802906224 in words is "one hundred twenty billion, eight hundred two million, nine hundred six thousand, two hundred twenty-four".