120305700307152 has 180 divisors, whose sum is σ = 345507293366820. Its totient is φ = 39077252960256.

The previous prime is 120305700307151. The next prime is 120305700307189. The reversal of 120305700307152 is 251703007503021.

It is a happy number.

120305700307152 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 570 + 0 + 30 + 7 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55812015913536 + 64493684393616 = 7470744^2 + 8030796^2 .

It is a super-2 number, since 2×120305700307152² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (120305700307151) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 72018208 + ... + 73669760.

It is an arithmetic number, because the mean of its divisors is an integer number (1919484963149).

Almost surely, 2^{120305700307152} is an apocalyptic number.

120305700307152 is a gapful number since it is divisible by the number (12) 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 120305700307152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172753646683410).

120305700307152 is an abundant number, since it is smaller than the sum of its proper divisors (225201593059668).

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

120305700307152 is a wasteful number, since it uses less digits than its factorization.

120305700307152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651890 (or 1651834 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 120305700307152 in words is "one hundred twenty trillion, three hundred five billion, seven hundred million, three hundred seven thousand, one hundred fifty-two".